A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of the Symmetric Group
نویسنده
چکیده
Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the 0-Hecke algebra of the symmetric group, CH0(SN ). This construction is compatible with the branching from SN−1 to SN .
منابع مشابه
A Combinatorial Formula for Orthogonal Idempotents in the 0-Hecke Algebra of SN
Building on the work of P.N. Norton, we give combinatorial formulae for two maximal decompositions of the identity into orthogonal idempotents in the 0-Hecke algebra of the symmetric group, CH0(SN ). This construction is compatible with the branching from H0(SN−1) to H0(SN ). Résumé. En s’appuyant sur le travail de P.N. Norton, nous donnons des formules combinatoires pour deux décompositions ma...
متن کامل0 Ju n 19 98 Weights of Markov Traces on Hecke Algebras ∗
We compute the weights, i.e. the values at the minimal idempotents, for the Markov trace on the Hecke algebra of type Bn and type Dn. In order to prove the weight formula, we define representations of the Hecke algebra of type B onto a reduced Hecke Algebra of type A. To compute the weights for type D we use the inclusion of the Hecke algebra of type D into the Hecke algebra of type B. Introduc...
متن کاملHecke Algebra Actions on the Coinvariant Algebra
Two actions of the Hecke algebra of type A on the corresponding polynomial ring are introduced. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. An explicit combinatorial formula is given for the resulting graded characters on the coinvariant algebra.
متن کاملApplications of the Frobenius Formulas for the Characters of the Symmetric Group and the Hecke Algebras of Type A
We give a simple combinatorial proof of Ram’s rule for computing the characters of the Hecke Algebra. We also establish a relationship between the characters of the Hecke algebra and the Kronecker product of two irreducible representations of the Symmetric Group which allows us to give new combinatorial interpretations to the Kronecker product of two Schur functions evaluated at a Schur functio...
متن کاملCharacteristic maps for the Brauer algebra
The classical characteristic map associates symmetric functions to characters of the symmetric groups. There are two natural analogues of this map involving the Brauer algebra. The first of them relies on the action of the orthogonal or symplectic group on a space of tensors, while the second is provided by the action of this group on the symmetric algebra of the corresponding Lie algebra. We c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 18 شماره
صفحات -
تاریخ انتشار 2011