On the Center of the Quantum Pseudoplactic Algebra

J.-C. Novelli () and E. Vassilieva ()
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J.-C. Novelli: Université de Lille I, LIFL
E. Vassilieva: Moscow State University, Department of Mechanics and Mathematics

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 709-718 from Springer

Abstract: Abstract This paper deals with the study of the center of a q-analog of the plactic algebra, the quantum pseudoplactic algebra defined by Krob and Thibon in [3]. We prove that the center of this algebra is reduced to the algebra generated by one polynomial, the so-called quantum elementary symmetric function of maximal weight.

Keywords: Hopf Algebra; Symmetric Function; Formal Power Series; Elementary Symmetric Function; Recursive Definition (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_70

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DOI: 10.1007/978-3-662-04166-6_70

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