Hecke algebras, U_qsl_n, and the Donald--Flanigan conjecture for S_n

1995/02/23 by Gerstenhaber, Murray, Schaps, Mary E.
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.q-alg/9502016

Abstract

To each partition \frak p of n we associate in a canonical way a simple S_n module with an orthogonal basis indexed by Young diagrams in a way which carries over immediately to the quantized case. With this we show that the Hecke algebra of S_n is a global solution to the Donald--Flanigan problem for S_n. The procedure gives ``canonical'' primitive idempotents different from the classical ones of Frobenius--Young and makes some number--theoretic statements.

Related

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