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Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n).

9780821874318

Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n).

Kleshchev, Alexander and Vladimir Shchigolev.

American Mathematical Society

2012

123 pages

$71.00

Memoirs of the American Mathematical Society; v.220, n.1034

QA174

Kleshchev (U. of Oregon) and Shchigolev combine the crystal graph and Schur functor approaches to obtain new branching results for projective representations of symmetric groups. The main theorem is a modular branching rule for irreducible supermodules over Sergeev superalgebras. The authors use lowering operators and combinatorics of signature sequences to construct U(n-1) primitive vectors. No index is provided.

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Publication:Reference & Research Book News
Article Type:Book review
Date:Feb 1, 2013
Words:107
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