TY - JOUR
T1 - Irreducible representations of finite-dimensional Lie superalgebras of type W
AU - Bernstein, I. N.
AU - Leites, D. A.
N1 - Selected translations
PY - 1983
Y1 - 1983
N2 - The superalgebra W(0,n) considered in this paper is the (n⋅2n)-dimensional algebra of superderivations of the Grassmann algebra on n generators, and has even part gl(n). The paper is essentially a specialization to W(0,n) of theorems proved earlier for the class of Lie superalgebras W(p,q) [the authors, same journal 1 (1981), no. 2, 143–160; MR0672426]. The authors give a construction and geometric realization for each irreducible representation of W(0,n) and compute its dimension.
AB - The superalgebra W(0,n) considered in this paper is the (n⋅2n)-dimensional algebra of superderivations of the Grassmann algebra on n generators, and has even part gl(n). The paper is essentially a specialization to W(0,n) of theorems proved earlier for the class of Lie superalgebras W(p,q) [the authors, same journal 1 (1981), no. 2, 143–160; MR0672426]. The authors give a construction and geometric realization for each irreducible representation of W(0,n) and compute its dimension.
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
SN - 0272-9903
VL - 3
SP - 63
EP - 68
JO - Selecta Mathematica Sovietica
JF - Selecta Mathematica Sovietica
IS - 1
ER -