Publication

Tensor Products of Weil Modules

2010
Student Projects

Abstract

The aim of this work is to understand the decomposition, in irreducible modules, of tensor products of Weil modules for Sp2n(3). To do this, we begin by computing the Weil modules for Sp4(3), Sp6(3) and Sp8(3) in order to understand how tensor products decompose for these cases. This leads us to some results and hypotheses for the general case. The understanding of the decomposition of two-fold tensor product of Weil modules for Sp2n(3) has been treated by Kay Magaard and Pham Huu Tiep in “Irreducible tensor products of representations of finite quasi-simple groups of Lie type” (to appear in the Proceedings of the Virginia Symposium on Representations of Finite Groups). Following it, we try to understand as much as possible the decomposition of three-fold tensor products of Weil modules for Sp2n(3).

Official source

https://infoscience.epfl.ch/entities/publication/0502cbac-e7b2-49dd-80a8-65b8635c4d98

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

2010
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/0502cbac-e7b2-49dd-80a8-65b8635c4d98

About this result

Related concepts (32)

Tensor product

In mathematics, the tensor product of two vector spaces V and W (over the same field) is a vector space to which is associated a bilinear map that maps a pair to an element of denoted An element of the form is called the tensor product of v and w. An element of is a tensor, and the tensor product of two vectors is sometimes called an elementary tensor or a decomposable tensor. The elementary tensors span in the sense that every element of is a sum of elementary tensors.

Tensor product of modules

In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps. The module construction is analogous to the construction of the tensor product of vector spaces, but can be carried out for a pair of modules over a commutative ring resulting in a third module, and also for a pair of a right-module and a left-module over any ring, with result an abelian group.

Classification of finite simple groups

In mathematics, the classification of finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating, or it belongs to a broad infinite class called the groups of Lie type, or else it is one of twenty-six or twenty-seven exceptions, called sporadic. The proof consists of tens of thousands of pages in several hundred journal articles written by about 100 authors, published mostly between 1955 and 2004.

Related publications (4)

Tensor Products of Weil Modules

Chat with Graph Search

Why H Z-algebra Spectra are Differential Graded Algebras?

Determination of chemical shift anisotropy tensors of carbonyl nuclei in proteins through cross-correlated relaxation in NMR

Analysis of a Synonymy Network