Degrees and formal degrees for division algebras and GLnover ap-adic field
نویسندگان
چکیده
منابع مشابه
Matrix Units and Generic Degrees for the Ariki–koike Algebras
The cyclotomic Hecke algebras were introduced by Ariki and Koike [2,4] and Broué and Malle [7]. It is conjectured [7] that these algebras play a rôle in the representation theory of reductive groups similar to (but more complicated than) that played by the Iwahori–Hecke algebras (see, for example, [8]). In particular, it should be possible to use these algebras to compute the degrees (and more ...
متن کاملGeneric Degrees of Ariki–koike Algebras
This note describes how to compute the generic degrees of the Ariki–Koike algebras by first constructing a basis of matrix units inside the algebras. As a consequence, we are able to define an explicit isomorphism from any semisimple Ariki–Koike algebra to the group algebra of the corresponding complex reflection group. This article is based fairly closely on the talk that I gave in Osaka at th...
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We determine the generic degrees of cyclotomic Hecke algebras attached to exceptional finite complex reflection groups. The results are used to introduce the notion of spetsial reflection group, which in a certain sense is a generalization of the finite Weyl group. In particular, to spetsial W there is attached a set of unipotent degrees which in the case of a Weyl group is just the set of degr...
متن کاملI classes, LR degrees and Turing degrees
We say that A ≤LR B if every B-random set is A-random with respect to Martin-Löf randomness. We study this reducibility and its interactions with the Turing reducibility, Π1 classes, hyperimmunity and other recursion theoretic notions. A natural variant of the Turing reducibility from the point of view of Martin-Löf randomness is the LR reducibility which was introduced in [12]. We say that A ≤...
متن کاملDegrees of Efficiency and Degrees of Minimality
In this work we characterize different types of solutions of a vector optimization problem by means of a scalarization procedure. Usually different scalarizing functions are used in order to obtain the various solutions of the vector problem. Here we consider different kinds of solutions of the same scalarized problem. Our results allow us to establish a parallelism between the solutions of the...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1990
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1990.141.21