@article{10_1090_S0894_0347_01_00381_2,
author = {Gorelik, Maria},
title = {Strongly typical representations of the basic classical {Lie} superalgebras},
journal = {Journal of the American Mathematical Society},
pages = {167--184},
year = {2002},
volume = {15},
number = {1},
doi = {10.1090/S0894-0347-01-00381-2},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-01-00381-2/}
}
TY - JOUR AU - Gorelik, Maria TI - Strongly typical representations of the basic classical Lie superalgebras JO - Journal of the American Mathematical Society PY - 2002 SP - 167 EP - 184 VL - 15 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-01-00381-2/ DO - 10.1090/S0894-0347-01-00381-2 ID - 10_1090_S0894_0347_01_00381_2 ER -
%0 Journal Article %A Gorelik, Maria %T Strongly typical representations of the basic classical Lie superalgebras %J Journal of the American Mathematical Society %D 2002 %P 167-184 %V 15 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-01-00381-2/ %R 10.1090/S0894-0347-01-00381-2 %F 10_1090_S0894_0347_01_00381_2
Gorelik, Maria. Strongly typical representations of the basic classical Lie superalgebras. Journal of the American Mathematical Society, Tome 15 (2002) no. 1, pp. 167-184. doi: 10.1090/S0894-0347-01-00381-2
[1] , On the theory of Frobenius extensions and its application to Lie superalgebras Trans. Amer. Math. Soc. 1993 407 424
[2] , A simple proof of Kostant’s theorem that 𝑈(𝔤) is free over its center Amer. J. Math. 1996 979 987
[3] , , 𝑃𝑆𝐿(𝑛|𝑛) sigma model as a conformal field theory Nuclear Phys. B 1999 205 234
[4] Construction of primitive ideals in an enveloping algebra 1975 77 93
[5] , The minimal primitive spectrum of the enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑙) Adv. Math. 2000 333 366
[6] Kostant’s problem, Goldie rank and the Gel′fand-Kirillov conjecture Invent. Math. 1980 191 213
[7] Quantum groups and their primitive ideals 1995
[8] Lie superalgebras Advances in Math. 1977 8 96
[9] Characters of typical representations of classical Lie superalgebras Comm. Algebra 1977 889 897
[10] Representations of classical Lie superalgebras 1978 597 626
[11] Lie group representations on polynomial rings Amer. J. Math. 1963 327 404
[12] On the center of the enveloping algebra of a classical simple Lie superalgebra J. Algebra 1997 75 101
[13] Generic representations of classical Lie superalgebras and their localization Monatsh. Math. 1994 267 313
[14] , Representations of classical Lie superalgebras of type 𝐼 Indag. Math. (N.S.) 1992 419 466
[15] , Generic irreducible representations of finite-dimensional Lie superalgebras Internat. J. Math. 1994 389 419
[16] Invariant polynomial functions on Lie superalgebras C. R. Acad. Bulgare Sci. 1982 573 576
Cité par Sources :