[PDF.11xs] Quantum Linear Groups and Representations of Gln (Fq) (Memoirs of the American Mathematical Society)

Quantum Linear Groups and Representations of Gln (Fq) (Memoirs of the American Mathematical Society)

[PDF.xi99] Quantum Linear Groups and Representations of Gln (Fq) (Memoirs of the American Mathematical Society)

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 | #9248612 in Books |  2001-01 | Original language:English |  9.75 x6.75 x.25l,.56 | File type: PDF | 112 pages

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We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of $GL_n(\mathbb{F}_q)$ over fields of characteristic coprime to $q$ to the representation theory of 'quantum $GL_n$' at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum $GL_n$ and Hari...

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