Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras

Authors:	Takahiro Hayashi

Affiliation:	(1) Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, 464 Nagoya, Japan

Abstract:	We introduceq-analogues of Clifford and Weyl algebras. Using these, we construct spinor and oscillator representations of quantum enveloping algebras of typeA_N–1,B_N,C_N,D_N andA_N–1⁽¹⁾. Also we discuss the irreducibility and the unitarity of these representations.

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