Exotic Cluster Structures on $SL_n$: The Cremmer-Gervais Case, M. Gekhtman, M. Shapiro, A. Vainshtein

Автор: Kaoru Hiraga, Hiroshi Saito
Название: On $L$-Packets for Inner Forms of $SL_n$
ISBN: 0821853643 ISBN-13(EAN): 9780821853641
Издательство: Mare Nostrum (Eurospan)
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Описание: The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands. In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.

Автор: K.R. Goodearl, M.T. Yakimov
Название: Quantum Cluster Algebras Structures on Quantum Nilpotent Algebras
ISBN: 1470436949 ISBN-13(EAN): 9781470436940
Издательство: Mare Nostrum (Eurospan)
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Описание: All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras.

Автор: Sergey Fomin, Dylan Thurston
Название: Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
ISBN: 1470429675 ISBN-13(EAN): 9781470429676
Издательство: Mare Nostrum (Eurospan)
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Описание: For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmuller space of the surface.