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Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra

✍ Scribed by Shun-Jen Cheng; Ngau Lam; R.B. Zhang

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
323 KB
Volume
273
Category
Article
ISSN
0021-8693

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✦ Synopsis

The Fock space of m + p bosonic and n + q fermionic quantum oscillators forms a unitarizable module of the general linear superalgebra gl m+p| n+q . Its tensor powers decompose into direct sums of infinite-dimensional irreducible highest-weight gl m+p| n+q -modules. We obtain an explicit decomposition of any tensor power of this Fock space into irreducibles, and develop a character formula for the irreducible gl m+p| n+q -modules arising in this way.

πŸ“œ SIMILAR VOLUMES

Character formulas for restricted simple
Character formulas for restricted simple modules of the special superalgebras
✍ Bin Shu; Yu-Feng Yao πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 196 KB

## Abstract Let __k__ be an algebraically closed field of prime characteristic __p__ > 2, and let __S__(__n__) be the special Lie superalgebra over __k__. The iso‐classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given