PARITIES OF v-DECOMPOSITION NUMBERS
نویسنده
چکیده
We prove that the v-decomposition number dλμ(v) arising from the canonical basis of the Fock space representation of Uv(ŝle) is an even or odd polynomial according to whether the partitions λ and μ have the same relative e-sign (or e-parity) or not.
منابع مشابه
PARITIES OF v-DECOMPOSITION NUMBERS AND AN APPLICATION TO SYMMETRIC GROUP ALGEBRAS
We prove that the v-decomposition number dλμ(v) is an even or odd polynomial according to whether the partitions λ and μ have the same relative sign (or parity) or not. We then use this result to verify Martin’s conjecture for weight 3 blocks of symmetric group algebras — that these blocks have the property that their projective (indecomposable) modules have a common radical length 7.
متن کاملOn decomposition numbers with Jantzen filtration of cyclotomic q-Schur algebras
Let S (Λ) be the cyclotomic q-Schur algebra associated to the ArikiKoike algebra Hn,r, introduced by Dipper-James-Mathas. In this paper, we consider v-decomposition numbers of S (Λ), namely decomposition numbers with respect to the Jantzen filtrations of Weyl modules. We prove, as a v-analogue of the result obtained by Shoji-Wada, a product formula for v-decomposition numbers of S (Λ), which as...
متن کاملAnother runner removal theorem for v-decomposition numbers of Iwahori–Hecke algebras and q-Schur algebras
Let F denote the Fock space representation of the quantum groupUv(ŝle). The ‘v-decomposition numbers’ are the coefficients when the canonical basis for this representation is expanded in terms of the basis of partitions, and the evaluations at v = 1 of these polynomials give the decomposition numbers for Iwahori–Hecke algebras and q-Schur algebras over C. James and Mathas have proved a theorem ...
متن کاملNumerical solution of a system of fuzzy polynomial equations by modified Adomian decomposition method
In this paper, we present some efficient numerical algorithm for solving system of fuzzy polynomial equations based on Newton's method. The modified Adomian decomposition method is applied to construct the numerical algorithms. Some numerical illustrations are given to show the efficiency of algorithms.
متن کاملNumerical solution of the one dimensional non-linear Burgers equation using the Adomian decomposition method and the comparison between the modified Local Crank-Nicolson method and the VIM exact solution
The Burgers’ equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank – Nicholson, used for solving the one-dimensional Burgers’ equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to...
متن کامل