On the Iwahori-Matsumoto involution and applications
نویسندگان
چکیده
منابع مشابه
Iwahori-Matsumoto involution and linear Koszul Duality
In this paper we use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in [MR1, MR2] to give a geometric realization of the Iwahori–Matsumoto involution of affine Hecke algebras. More generally we prove that linear Koszul duality is compatible with convolution in a general context related to convolution algebras.
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We consider the “antidominant” variants Θ− λ of the elements Θλ occurring in the Bernstein presentation of an affine Hecke algebra H. We find explicit formulae for Θ− λ in terms of the Iwahori-Matsumoto generators Tw (w ranging over the extended affine Weyl group of the root system R), in the case (i) R is arbitrary and λ is a minuscule coweight, or (ii) R is attached to GLn and λ = mek, where ...
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Viewing the Matsumoto–Yor property as a bivariate property with respect to the simple tree with two vertices and one edge, we extend it to a p-variate property with respect to any tree with p vertices. The converse of the Matsumoto–Yor property, which characterizes the product of a gamma and a generalized inverse Gaussian distribution, is extended to characterize the product of a gamma and p 1 ...
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phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1995
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1724