CHARACTER FORMULAS FOR THE LIE SUPERALGEBRA C(N)

被引：37

作者：

VANDERJEUGT, J ^{[1
]}

机构：

[1] UNIV SOUTHAMPTON, DEPT MATH, SOUTHAMPTON SO9 5NH, HANTS, ENGLAND

来源：

COMMUNICATIONS IN ALGEBRA | 1991年 / 19卷 / 01期

关键词：

D O I：

10.1080/00927879108824137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a recent result on the structure of the maximal sub-module of the Kac-module for type I Lie superalgebras, we derive two character formulae for all finite-dimensional simple modules of the Lie superalgebra C(n) = osp(2/2n - 2). The corresponding formula for the supercharacter gives rise to a very simple expression for the superdimension of any atypical simple module.

引用

页码：199 / 222

页数：24

共 23 条

[1] CHARACTER EXPANSION FOR U(N) GROUPS AND U(N/M) SUPERGROUPS [J].

BALANTEKIN, AB .

JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (06) :2028-2030

[2] HOOK YOUNG-DIAGRAMS WITH APPLICATIONS TO COMBINATORICS AND TO REPRESENTATIONS OF LIE-SUPERALGEBRAS [J].

BERELE, A ;

REGEV, A .

ADVANCES IN MATHEMATICS, 1987, 64 (02) :118-175

[3]

BERNSTEIN IN, 1980, DOKL BOLG AKAD NAUK, V33, P1049

[4] GRADED LIE-ALGEBRAS IN MATHEMATICS AND PHYSICS (BOSE-FERMI SYMMETRY) [J].

CORWIN, L ;

NEEMAN, Y ;

STERNBERG, S .

REVIEWS OF MODERN PHYSICS, 1975, 47 (03) :573-603

[5] COMPOSITE YOUNG-DIAGRAMS, SUPERCHARACTERS OF U(M/N) AND MODIFICATION RULES [J].

CUMMINS, CJ ;

KING, RC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (11) :3121-3133

[6] DIAGRAM AND SUPERFIELD TECHNIQUES IN THE CLASSICAL SUPERALGEBRAS [J].

DONDI, PH ;

JARVIS, PD .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (03) :547-563

[7] A CONJECTURED CHARACTER FORMULA FOR ATYPICAL IRREDUCIBLE MODULES OF THE LIE SUPERALGEBRA SL(M/N) [J].

HUGHES, JWB ;

KING, RC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (16) :L1047-L1052

[8]

Humphreys J.E., 1978, INTRO LIE ALGEBRAS R, V9

[9] YOUNG SUPERTABLEAUX OF THE BASIC LIE-SUPERALGEBRAS [J].

HURNI, JP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :5755-5821

[10]

Kac, 1975, FUNCT ANAL APPL, V9, P263

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