Rectangular low level case of modular branching problem for GL_n(K)

Details Rectangular low level case of modular branching problem for GL_n(K) Rectangular low level case of modular branching problem for GL_n(K)

2007-03-26

arxiv.org/abs/math/0703758v2

Journal of Algebra 321 (2009), no. 1, 28 - 85

Mathematics

Representation Theory

Scientific paper

10.1016/j.jalgebra.2008.08.034

In this paper, we find an explicit combinatorial criterion for the existence of a nonzero GL_{n-1}(K)-high weight vector of weight (\lambda_1,...,\lambda_{i-1},\lambda_i-d,\lambda_{i+1},..., \lambda_{n-1}), where d

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