Geodesic
Hochschild cohomology ring for self-injective algebras of tree class $E_8$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 112-148 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The Hochschild cohomology ring for self-injective algebras of tree class $E_8$ with finite representation type is described in terms of generators and relations. 
@article{ZNSL_2021_500_a5,
     author = {M. A. Kachalova},
     title = {Hochschild cohomology ring for self-injective algebras of tree class $E_8$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--148},
     year = {2021},
     volume = {500},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/}
}
TY  - JOUR
AU  - M. A. Kachalova
TI  - Hochschild cohomology ring for self-injective algebras of tree class $E_8$
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2021
SP  - 112
EP  - 148
VL  - 500
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/
LA  - ru
ID  - ZNSL_2021_500_a5
ER  - 
%0 Journal Article
%A M. A. Kachalova
%T Hochschild cohomology ring for self-injective algebras of tree class $E_8$
%J Zapiski Nauchnykh Seminarov POMI
%D 2021
%P 112-148
%V 500
%U http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/
%G ru
%F ZNSL_2021_500_a5
M. A. Kachalova. Hochschild cohomology ring for self-injective algebras of tree class $E_8$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 112-148. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/

[1] C. Riedtmann, “Algebren, Darstellungsköcher, Überlagerungen und zurück”, Comment. Math. Helv., 55 (1980), 199–224 | DOI | MR | Zbl

[2] K. Erdmann, T. Holm, “Twisted bimodules and Hochschild cohomology for self-injective algebras of class $A_n$”, Forum Math., 11 (1999), 177–201 | MR | Zbl

[3] A. I. Generalov, M. A. Kachalova, “Bimodulnaya rezolventa algebry Mëbiusa”, Zap. nauchn. semin. POMI, 321, 2005, 36–66 | Zbl

[4] M. A. Kachalova, “Kogomologii Khokhshilda algebry Mëbiusa”, Zap. nauchn. semin. POMI, 330, 2006, 173–200 | Zbl

[5] M. A. Pustovykh, “Koltso kogomologii Khokhshilda algebry Mëbiusa”, Zap. nauchn. semin. POMI, 388, 2011, 210–246

[6] Yu. V. Volkov, A. I. Generalov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. I”, Zap. nauchn. semin. POMI, 343, 2007, 121–182

[7] Yu. V. Volkov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. II”, Zap. nauchn. semin. POMI, 365, 2009, 63–121 | Zbl

[8] Yu. V. Volkov, A. I. Generalov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. III”, Zap. nauchn. semin. POMI, 386, 2011, 100–128

[9] Yu. V. Volkov, “Kogomologii Khokhshilda nestandartnykh samoin'ektivnykh algebr drevesnogo tipa $D_n$”, Zap. nauchn. semin. POMI, 388, 2011, 48–99

[10] Yu. V. Volkov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. IV”, Zap. nauchn. semin. POMI, 388, 2011, 100–118

[11] Yu. V. Volkov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. V”, Zap. nauchn. semin. POMI, 394, 2011, 140–173

[12] M. A. Pustovykh, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_6$”, Zap. nauchn. semin. POMI, 423, 2014, 205–243

[13] M. A. Kachalova, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_6$. II”, Zap. nauchn. semin. POMI, 478, 2019, 128–171

[14] M. A. Kachalova, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_7$”, Zap. nauchn. semin. POMI, 484, 2019, 86–114

[15] D. Happel, “Hochschild cohomology of finite-dimensional algebras”, Lect. Notes Math., 1404, 1989, 108–126 | DOI | Zbl

[16] Yu. V. Volkov, A. I. Generalov, S. O. Ivanov, “O postroenii bimodulnykh rezolvent s pomoschyu lemmy Khappelya”, Zap. nauchn. semin. POMI, 375, 2010, 61–70 | Zbl

[17] M. Kachalova, Hochschild cohomology rings for self-injective algebras of tree classes $E_7$ and $E_8$, arXiv: 1910.03043