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CHARACTER TABLE OF HECKE ALGEBRA OF TYPE A_N-1 AND REPRESENTATIONS OF THE QUANTUM GROUP U_q(gl_n+1)

Kimio UENO and
Youichi SHIBUKAWA

Kimio UENO

Department of Mathematics, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169, Japan

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and

Youichi SHIBUKAWA

Department of Mathematics, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169, Japan

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https://doi.org/10.1142/S0217751X92004130Cited by:1 (Source: Crossref)

Abstract

A q-analogue of the Frobenius formula is proved by means of the quantum groups U_q(gl_n+1), A_q(GL_n+1) and Iwahori's Hecke algebra of type A_N-1, and then, the character table of this Hecke algebra is investigated.

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Vol. 07, No. supp01b

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History

Received 30 September 1991

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CHARACTER TABLE OF HECKE ALGEBRA OF TYPE AN-1 AND REPRESENTATIONS OF THE QUANTUM GROUP Uq(gln+1)

Abstract

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CHARACTER TABLE OF HECKE ALGEBRA OF TYPE A_N-1 AND REPRESENTATIONS OF THE QUANTUM GROUP U_q(gl_n+1)