scholarly journals GENERALIZED GREEN FUNCTIONS AND UNIPOTENT CLASSES FOR FINITE REDUCTIVE GROUPS, III

2021 ◽  
pp. 1-22
Author(s):  
TOSHIAKI SHOJI
Keyword(s):  
Classical Type ◽  
Green Functions ◽  
Reductive Groups ◽  
Arbitrary Characteristic

Abstract Lusztig’s algorithm of computing generalized Green functions of reductive groups involves an ambiguity on certain scalars. In this paper, for reductive groups of classical type with arbitrary characteristic, we determine those scalars explicitly, and eliminate the ambiguity. Our results imply that all the generalized Green functions of classical type are computable.

scholarly journals Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, II

2007 ◽  
Vol 188 ◽  
pp. 133-170 ◽  
Author(s):  
Toshiaki Shoji
Keyword(s):  
Finite Field ◽  
Classical Group ◽  
Green Functions ◽  
Reductive Groups ◽  
Arbitrary Characteristic

AbstractThis paper is concerned with the problem of the determination of unknown scalars involved in the algorithm of computing the generalized Green functions of reductive groups G over a finite field. In the previous paper, we have treated the case where G = SLn. In this paper, we determine the scalars in the case where G is a classical group Sp2n or SON for arbitrary characteristic.

scholarly journals Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, I

2006 ◽  
Vol 184 ◽  
pp. 155-198 ◽  
Author(s):  
David Hernandez ◽  
Hiraku Nakajima
Keyword(s):  
Weight Module ◽  
Green Functions ◽  
Reductive Groups ◽  
Quantum Affine Algebras ◽  
Finite Dimensional ◽  
Affine Algebras

We study the monomial crystal defined by the second author. We show that each component of the monomial crystal can be embedded into a crystal of an extremal weight module introduced by Kashiwara. And we determine all monomials appearing in the components corresponding to all level 0 fundamental representations of quantum affine algebras except for some nodes of . Thus we obtain explicit descriptions of the crystals in these examples. We also give those for the corresponding finite dimensional representations. For classical types, we give them in terms of tableaux. For exceptional types, we list up all monomials.

scholarly journals Basic Sets for Unipotent Blocks of Finite Reductive Groups in Bad Characteristic

2020 ◽  
Author(s):  
Reda Chaneb
Keyword(s):  
Classical Type ◽  
Reductive Groups ◽  
Basic Set ◽  
Brauer Characters ◽  
Basic Sets

Abstract We show the existence of a unitriangular basic set for unipotent blocks of simple reductive groups of classical type in bad characteristic with some exceptions. Then, we introduce an algorithm to count unipotent irreducible Brauer characters and we verify that this algorithm is effective for exceptional adjoint groups.

Dynamics of the morphometric indices of the subretinal neovascular membranes of the classical type after photodynamic therapy

2009 ◽  
Vol 4 (20) ◽  
pp. 5-7
Author(s):  
N. Pasechnikova ◽  
◽  
V. Naumenko ◽  
A. Korol ◽  
O. Zadorozhnyy ◽  
...  
Keyword(s):  
Photodynamic Therapy ◽  
Classical Type

A form of Autoimmune Diabetes in Adults Named LADA – An Update on Essential Features and Controversies

2019 ◽  
Vol 15 (3) ◽  
pp. 172-173 ◽  
Author(s):  
Valdemar Grill ◽  
Bjørn O. Åsvold
Keyword(s):  
Genetic Background ◽  
Clinical Utility ◽  
Autoimmune Diabetes ◽  
Classical Type ◽  
Phenotypic Characteristics ◽  
Latent Autoimmune Diabetes ◽  
The Impact

Latent Autoimmune Diabetes in the Adult, LADA has been investigated less than “classical” type 1 and type 2 diabetes and the criteria for and the relevance of a LADA diagnosis has been challenged. Despite the absence of a genetic background that is exclusive to LADA, this form of diabetes displays phenotypic characteristics that distinguish it from other forms of diabetes. LADA is heterogeneous in terms of the impact of autoimmunity and lifestyle factors, something that poses problems as to therapy and follow-up perhaps particularly in those with marginal positivity. Yet, there appears to be clear clinical utility in classifying individuals as LADA.

scholarly journals Bulk-Boundary Correspondence for Non-Hermitian Hamiltonians via Green Functions

2021 ◽  
Vol 126 (21) ◽  
Author(s):  
Heinrich-Gregor Zirnstein ◽  
Gil Refael ◽  
Bernd Rosenow
Keyword(s):  
Green Functions ◽  
Boundary Correspondence
Sign in / Sign up

Export Citation Format

Share Document