Bases for Spaces of Highest Weight Vectors in Arbitrary Characteristic

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules

Since Kashiwara introduced the theory of crystal base ([2]) in 1990, one of the most fundamental problems has been to describe the crystal base associated with the given integrable highest weight module as explicitly as possible. In order to answer this, many kinds of new combinatorial objects have been invented, e.g., in [9] some analogues of Young tableaux were introduced in order to describe...

متن کامل

Finding minimal bases in arbitrary spline spaces

In this work we describe a general algorithm to find a finite-element basis with minimum total support for an arbitrary spline space, given any basis for that same space. The running time is exponential on n in the worst case, but O(nm) for many cases of practical interest, where n is the number of mesh cells and m is the dimension of the spline space.

متن کامل

Tau-functions as highest weight vectors for W1+∞ algebra

For each r = (r1, r2, . . . , rN ) ∈ C N we construct a highest weight module Mr of the Lie algebra W1+∞. The highest weight vectors are specific tau-functions of the N -th Gelfand–Dickey hierarchy. We show that these modules are quasifinite and we give a complete description of the reducible ones together with a formula for the singular vectors. hep-th/9510211

متن کامل

Bases of Minimum-Weight Vectors for Codes from Designs

An explicit basis of incidence vectors for the p-ary code of the design of points and hyperplanes of the affine geometry AGm(Fp) for any prime p and any integer m ≥ 2 is obtained, which, as a corollary, gives a new elementary proof that this code is a generalized Reed-Muller code. In the proof a class of non-singular matrices related to Vandermonde matrices is introduced.

متن کامل

Highest weight modules and polarized embeddings of shadow spaces

The present paper was inspired by the work on polarized embeddings by Cardinali et al. (J. Algebr. Comb. 25(1):7–23, 2007) although some of our results in it date back to 1999. They study polarized embeddings of certain dual polar spaces, and identify the minimal polarized embeddings for several such geometries. We extend some of their results to arbitrary shadow spaces of spherical buildings, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Algebras and Representation Theory

سال: 2018

ISSN: 1386-923X,1572-9079

DOI: 10.1007/s10468-018-9815-3