To the memory of Andrei Vladimirovich Roiter

A. V. Yakovlev

Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 14, Tome 338 (2006), pp. 251-260

Bibliographie

[1] A. V. Roiter,, “O predstavleniyakh tsiklicheskoi gruppy chetvertogo poryadka tselochislennymi matritsami”, Vestnik Leningr. univ., 15:19 (1960), 65–74 | MR | Zbl

[2] L. A. Nazarova, A. V. Roiter, “Tselochislennye predstavleniya simmetricheskoi gruppy tretei stepeni”, Ukr. mat. zhur., 14 (1962), 271–288 | MR

[3] A. V. Roiter, “O kategorii predstavlenii”, Ukr. mat. zh., 15 (1963), 448–452 | MR | Zbl

[4] A. V. Roiter, “Kategorii s deleniem i tselochislennye predstavleniya”, Dokl. AN SSSR, 153 (1963), 46–48 | MR | Zbl

[5] A. V. Roiter, “$E$-sistemy predstavlenii”, Ukr. mat. zh., 17:2 (1965), 88–96 | MR | Zbl

[6] A. V. Roiter, “Delimost v kategorii predstavlenii nad polnym lokalnym dedekindovym koltsom”, Ukr. mat. zh., 17:4 (1965), 124–129 | MR | Zbl

[7] L. A. Nazarova, A. V. Roiter, “O neprivodimykh predstavleniyakh $p$-gruppy nad $Z_{p}(\varepsilon)$”, Ukr. mat. zh., 18:1 (1966), 119–124 | MR | Zbl

[8] A. V. Roiter, “Analog teoremy Bassa dlya modulei predstavlenii nekommutativnykh poryadkov”, Dokl. AN SSSR, 168 (1966), 1261–1264 | MR | Zbl

[9] A. V. Roiter, “Tselochislennye predstavleniya, prinadlezhaschie odnomu rodu”, Izv. AN SSSR, ser. mat., 30 (1966), 1315–1324 | MR | Zbl

[10] L. A. Nazarova, A. V. Roiter, “Tselochislennye $p$-adicheskie predstavleniya i predstavleniya nad koltsom smezhnykh klassov”, Ukr. mat. zh., 19:2 (1967), 125–126 | MR | Zbl

[11] Yu. A. Drozd, V. V. Kirichenko, A. V. Roiter, “Nasledstvennye i bassovy poryadki”, Izv. AN SSSR, ser. mat., 31 (1967), 1415–1436 | MR | Zbl

[12] Yu. A. Drozd, A. V. Roiter, “Kommutativnye koltsa s konechnym chislom nerazlozhimykh tselochislennykh predstavlenii”, Izv. AN SSSR, ser. mat., 31 (1967), 783–798 | MR | Zbl

[13] L. A. Nazarova, A. V. Roiter, “Utochnenie teoremy Bassa”, Dokl. AN SSSR, 176 (1967), 266–268 | MR | Zbl

[14] A. V. Roiter, “K teorii tselochislennykh predstavlenii kolets”, Mat. zametki, 3 (1968), 361–366 | MR | Zbl

[15] A. V. Roiter, “Neogranichennost razmernostei nerazlozhimykh predstavlenii algebry, imeyuschei beskonechno mnogo nerazlozhimykh predstavlenii”, Izv. AN SSSR, ser. mat., 32 (1968), 1275–1282 | MR | Zbl

[16] L. A. Nazarova, A. V. Roiter, “Konechno porozhdennye moduli nad diadoi dvukh lokalnykh dedekindovykh kolets, i konechnye gruppy obladayuschie abelevym normalnym delitelem indeksa $p$”, Izv. AN SSSR, ser. mat., 33 (1969), 65–89 | MR | Zbl

[17] L. A. Nazarova, A. V. Roiter, “Matrix questions and the Brauer–Thrall conjectures on algebras with an infinite number of indecomposable representations”, Representation theory of finite groups and related topics, Proc. Sympos. Pure Math., Vol. XXI, Univ. Wisconsin, Madison, Wis. 1970, Amer. Math. Soc., Providence, RI, 1971, 111–115 | MR

[18] L. A. Nazarova, A. V. Roiter, V. V. Sergeichuk, V. M. Bondarenko, “Prilozhenie modulei nad diadoi k klassifikatsii konechnykh $p$-grupp, obladayuschikh abelevoi podgruppoi indeksa $p$ i par vzaimno annuliruyuschikh operatorov”, Zap. nauchn. semin. LOMI, 28, 1972, 69–92 | MR | Zbl

[19] L. A. Nazarova, A. V. Roiter, “Predstavleniya chastichno uporyadochennykh mnozhestv”, Zap. nauchn. semin. LOMI, 28, 1972, 5–31 | MR | Zbl

[20] A. V. Roiter, “Matrichnye zadachi i predstavleniya bisistem”, Zap. nauchn. semin. LOMI, 28, 1972, 130–143 | MR | Zbl

[21] L. A. Nazarova, A. V. Roiter, “Ob odnoi probleme I. M. Gelfanda”, Funkts. analiz i ego pril., 7:4 (1973), 54–69 | MR | Zbl

[22] L. A. Nazarova, A. V. Roiter, “Polikolchany i skhemy Dynkina”, Funkts. analiz i pril., 7:3 (1973), 94–95 | MR | Zbl

[23] L. A. Nazarova, A. V. Roiter, Kategornye matrichnye zadachi i problema Brauera–Trella, Naukova dumka, Kiev, 1973 | MR | Zbl

[24] A. V. Roiter, M. M. Kleiner, “Representations of differential graded categories”, Representations of algebras, Proc. Internat. Conf. (Carleton Univ., Ottawa, Ont., 1974), Lecture Notes in Math., 488, Springer, Berlin, 1975, 316–339 | MR

[25] L. A. Nazarova, A. V. Roiter, A Kategorielle Matrizen-Probleme und die Brauer–Thrall–Vermutung, Aus dem Russischen übersetzt von K. Nikander, Mitt. Math. Sem. Giessen, 115, 1975 | MR | Zbl

[26] M. M. Kleiner, A. V. Roiter, “Predstavleniya differentsialnykh graduirovannykh kategorii”, Matrichnye zadachi, In-t matematiki AN USSR, Kiev, 1977, 5–70 | MR | Zbl

[27] S. A. Ovsienko, A. V. Roiter, “Bilineinye formy i kategorii predstavlenii”, Matrichnye zadachi, In-t matematiki AN USSR, Kiev, 1977, 71–80 | MR | Zbl

[28] N. S. Golovaschuk, S. A. Ovsienko, A. V. Roiter, “K voprosu o shurovskikh differentsialnykh graduirovannykh kategoriyakh”, Matrichnye zadachi, In-t matematiki AN USSR, Kiev, 1977, 162–165 | MR | Zbl

[29] L. A. Nazarova, S. A. Ovsienko, A. V. Roiter, “Polikolchany konechnogo tipa. Algebra, teoriya chisel i ikh prilozheniya”, Trudy Mat. In-ta. im. Steklova, 148, 1978, 190–194, 277 | MR | Zbl

[30] A. V. Roiter, “Korni tselochislennykh kvadratichnykh form. Algebra, teoriya chisel i ikh prilozheniya”, Trudy Mat. In-ta. im. Steklova, 148, 1978, 201–210, 277 | MR | Zbl

[31] A. V. Roiter, “BOKSy s involyutsiei”, Predstavleniya i kvadratichnye formy, 154, In-t mat. AN USSR, Kiev, 1979, 124–126 | MR

[32] A. V. Roiter, “Matrichnye zadachi i predstavleniya BOKSov”, Predstavleniya i kvadratichnye formy, 154, In-t mat. AN USSR, Kiev, 1979, 3–38 | MR

[33] A. V. Roiter, “Matrix problems”, Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, 319–322 | MR

[34] A. V. Roiter, “Matrix problems and representations of BOCSs”, Representation theory, I, Proc. Workshop (Carleton Univ., Ottawa, Ont., 1979), Lect. Notes Math., 831, Springer, Berlin-New York, 1980, 288–324 | MR

[35] A. V. Roiter, Predstavleniya chastichno uporyadochennykh mnozhestv s involyutsiei, Preprint in-ta mat. AN USSR No 17, 1981 | MR

[36] L. A. Nazarova, A. V. Roiter, “Lineino-algebraicheskie metody v teorii predstavlenii”, Lineinaya algebra i teoriya predstavlenii, In-t mat. AN USSR, Kiev, 1983, 3–18 | MR

[37] L. A. Nazarova, A. V. Roiter, “Predstavleniya i formy slabo popolnennykh chastichno uporyadochennykh mnozhestv”, Lineinaya algebra i teoriya predstavlenii, In-t mat. AN USSR, Kiev, 1983, 19–54 | MR

[38] R. Bautista, P. Gabriel, A. V. Roiter, L. Salmeron, “Representation-finite algebras and multiplicative bases”, Invent. Math., 81:2 (1985), 217–285 | DOI | MR | Zbl

[39] A. V. Roiter, “The norm of a relation”, Representation theory, I (Ottawa, Ont. 1984), Lect. Notes Math., 1177, Springer, Berlin, 1986, 269–271 | MR

[40] L. A. Nazarova, V. M. Bondarenko, A. V. Roiter, Predstavleniya chastichno uporyadochennykh mnozhestv s involyutsiei, Preprint in-ta mat. AN USSR No 80, 1986 | MR | Zbl

[41] A. V. Roiter, “Representations of posets and tame matrix problems”, Representations of algebras (Durham, 1985), London Math. Soc. Lect. Note Ser., 116, Cambridge Univ. Press, Cambridge, 1986, 91–107 | MR

[42] L. A. Nazarova, A. V. Roiter, Predstavleniya bikomponentnykh popolnennykh mnozhestv, Preprint in-ta mat. AN USSR No 5, 1987 | MR | Zbl

[43] L. A. Nazarova, A. V. Roiter, “Representations of bipartite completed posets”, Comment. Math. Helv., 63:3 (1988), 498–526 | DOI | MR | Zbl

[44] L. A. Nazarova, A. V. Roiter, P. Gabriel, “Representations indecomposables: un algorithme”, C. R. Acad. Sci. Paris, Ser. I, Math., 307:13 (1988), 701–706 | MR | Zbl

[45] L. A. Nazarova, V. M. Bondarenko, A. V. Roiter, “Ruchnye chastichno uporyadochennye mnozhestva s involyutsiei”, Trudy Mat. Inst. im. Steklova, 183, 1990, 149–159 | MR

[46] P. M. Gudivok, V. M. Oros, A. V. Roiter, “Predstavleniya konechnykh $p$-grupp nad polem formalnykh stepennykh ryadov s tselymi $p$-adicheskimi koeffitsientami”, Dokl. AN SSSR, 314:1 (1990), 49–52 | MR | Zbl

[47] L. A. Nazarova, A. V. Roiter, Predstavleniya biinvolyutivnykh chastichno uporyadochennykh mnozhestv, Preprint in-ta mat. AN Ukrainy No 34, 1991, 31 pp. | MR

[48] P. M. Gudivok, V. M. Oros, A. V. Roiter, “Predstavleniya konechnykh $p$-grupp nad polem formalnykh stepennykh ryadov s tselymi $p$-adicheskimi koeffitsientami”, Ukr. mat. zh., 44:6 (1992), 753–765 | MR | Zbl

[49] P. Gabriel, A. V. Roiter, “Representations of finite-dimensional algebras”, Algebra, VIII, With a chapter by B. Keller., Encyclopaedia Math. Sci., 73, Springer, Berlin, 1992, 1–177 | MR

[50] P. Gabriel, L. A. Nazarova, A. V. Roiter, V. V. Sergeichuk, D. Vossieck, “Tame and wild subspace problems”, Ukr. mat. zh., 45:3 (1993), 313–352 | MR | Zbl

[51] L. A. Nazarova, A. V. Roiter, Predstavleniya biinvolyutivnykh chastichno uporyadochennykh mnozhestv, II, Preprint in-ta mat. AN Ukrainy No 2, 1994 | MR | Zbl

[52] A. V. Roiter, V. V. Sergeichuk, “Suschestvovanie multiplikativnogo bazisa dlya konechno prostranstvennogo modulya nad agregatom”, Ukr. mat. zh., 46:5 (1994), 604–617 | MR | Zbl

[53] K. I. Belousov, L. A. Nazarova, A. V. Roiter, V. V. Sergeichuk, “Elementarnye i multielementarnye predstavleniya vektroidov”, Ukr. mat. zh., 47:11 (1995), 1451–1477 | MR | Zbl

[54] T. Guidon, U. Hassler, L. A. Nazarova, A. V. Roiter, “Two reduction algorithms for dyadic sets”, C. R. Acad. Sci. Paris, Ser. I, Math., 322:10 (1996), 915–920 | MR | Zbl

[55] T. Guidon, U. Hassler, L. A. Nazarova, A. V. Roiter, “Dyadic sets $S$: a dichotomy for indecomposable $S$-matrices”, C. R. Acad. Sci. Paris, Ser. I, Math., 324:11 (1997), 1205–1210 | MR | Zbl

[56] K. I. Belousov, L. A. Nazarova, A. V. Roiter, “Konechno predstavimye triadicheskie mnozhestva”, Algebra i analiz, 9:4 (1997), 3–27 | MR | Zbl

[57] K. I. Belousov, L. A. Nazarova, A. V. Roiter, “Konechno predstavimye diadicheskie mnozhestva i ikh multielementarnye predstavleniya”, Ukr. mat. zh., 49:11 (1997), 1465–1477 | MR | Zbl

[58] A. V. Roiter, K. I. Belousov, L. A. Nazarova, “Representations of finitely represented dyadic sets”, Algebras and Modules, II (Geiranger, 1996), CMS Conf. Proc., 24, Amer. Math. Soc., Providence, RI, 1998, 61–76 | MR | Zbl

[59] L. A. Nazarova, A. V. Roiter, “Funktory i diadicheskie mnozhestva konechnogo tipa”, Funk. analiz i pril., 34:2 (2000), 83–86 | MR | Zbl

[60] L. A. Nazarova, A. V. Roiter, “Konechno predstavimye diadicheskie mnozhestva”, Ukr. mat. zh., 52:10 (2000), 1561–1596 | MR | Zbl

[61] K. I. Belousov, L. A. Nazarova, A. V. Roiter, “Konechno predstavimye $K$-markirovannye kolchany”, Ukr. mat. zh., 53:4 (2001), 550–555 | MR | Zbl

[62] L. A. Nazarova, A. V. Roiter, “Norma otnosheniya, razdelyayuschie funktsii i predstavleniya markirovannykh kolchanov”, Ukr. mat. zh., 54:6 (2002), 808–840 | MR | Zbl

[63] A. V. Roiter, “Representations of marked quivers”, Representations of algebras, Vol. I, II, Beijing Norm. Univ. Press, Beijing, 2002, 417–433 | MR | Zbl

[64] P. Gabriel, A. V. Roiter, Predstavleniya konechnomernykh algebr, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 73, VINITI, M., 2003

[65] I. K. Redchuk, A. V. Roiter, “Singulyarnye lokalno-skalyarnye predstavleniya kolchanov v gilbertovykh prostranstvakh i razdelyayuschie funktsii”, Ukr. mat. zh., 56:6 (2004), 796–809 | MR | Zbl

[66] S. A. Kruglyak, A. V. Roiter, “Lokalno skalyarnye predstavleniya grafov v kategorii gilbertovykh prostranstv”, Funk. analiz i pril., 39:2 (2005), 13–30 | MR | Zbl

[67] L. A. Nazarova, A. V. Roiter, M. N. Smirnova, “Antimonotonnye i $P$-tochnye kvadratichnye formy i predstavleniya chastichno uporyadochennykh mnozhestv”, Algebra i analiz, 17:6 (2005), 161–183 | MR