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Quantized Flag Manifolds and Irreducible *-Representations
Authors:Jasper V. Stokman  Mathijs S. Dijkhuizen
Affiliation:(1) Department of Theoretical Physics and Center of Mathematics and its Applications, IAS, Australian National University, Canberra, ACT 0200, Australia, AU;(2) Saint Petersburg Branch of Steklov Mathematical Institute, Fontanka 27, Saint Petersburg, 191011, Russia, RU;(3) Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-049, USA, US;(4) L.D. Landau Institute for Theoretical Physics, Chernogolovka, 142432, Russia, RU
Abstract:In this paper we fill some gaps in the arguments of our previous papers [1,2]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining relations of the Yang–Baxter algebra. Among other results we present a derivation of the functional relations satisfied by T and Q operators and a proof of the basic analyticity assumptions for these operators used in [1,2]. Received: 20 May 1998 / Accepted: 7 July 1998
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