Affine symmetric group

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

Double Affine Hecke Algebras for the Spin Symmetric Group

We introduce a new class (in two versions, Au and Bu) of rational double affine Hecke algebras (DaHa) associated to the spin symmetric group. We establish the basic properties of the algebras, such as PBW and Dunkl representation, and connections to Nazarov’s degenerate affine Hecke algebra and to a new degenerate affine Hecke algebra introduced here. We formulate a precise connection between t...

متن کامل

Affine Stanley Symmetric Functions

We define a new family F̃w(X) of generating functions for w ∈ S̃n which are affine analogues of Stanley symmetric functions. We establish basic properties of these functions such as their symmetry and conjecture certain positivity properties. As an application, we relate these functions to the k-Schur functions of Lapointe, Lascoux and Morse as well as the cylindric Schur functions of Postnikov. ...

متن کامل

Affine Normalization of Symmetric Objects

A new method of normalization is used for the construction of the affine moment invariants. The affine transform is decomposed into translation, scaling, stretching, two rotations and mirror reflection. The object is successively normalized to these elementary transforms by means of low order moments. After normalization, other moments of normalized object can be used as affine invariant featur...

متن کامل

Affine Projections of Symmetric Polynomials

In this paper we introduce a new model for computing polynomials a depth 2 circuit with a symmetric gate at the top and plus gates at the bottom, i.e the circuit computes a symmetric function in linear functions Sd m(`1; `2; :::; `m) (Sd m is the d’th elementary symmetric polynomial in m variables, and the `i’s are linear functions). We refer to this model as the symmetric model. This new model...

متن کامل

A bijection on core partitions and a parabolic quotient of the affine symmetric group

Let l, k be fixed positive integers. In [1], the first and third authors established a bijection between l-cores with first part equal to k and (l − 1)-cores with first part less than or equal to k. This paper gives several new interpretations of that bijection. The l-cores index minimal length coset representatives for f Sl/Sl where f Sl denotes the affine symmetric group and Sl denotes the fi...

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: WikiJournal of Science

سال: 2021

ISSN: 2470-6345

DOI: 10.15347/wjs/2021.003