Algebras and Representation Theory

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Restriction of Representations of GL (n + 1, ℂ) to GL (n, ℂ) and Action of the Lie Overalgebra
Algebras and Representation Theory - Tập 21 Số 5 - Trang 1087-1117 - 2018
Yury A. Neretin
Geometric and Combinatorial Realizations of Crystal Graphs
Algebras and Representation Theory - Tập 9 Số 2 - Trang 161-199 - 2006
Savage, Alistair
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type A n (1) , we extend the Young wall construction to arbitrary l...... hiện toàn bộ
The A-fibered Burnside Ring as A-Fibered Biset Functor in Characteristic Zero
Algebras and Representation Theory - Tập 24 - Trang 1359-1385 - 2020
Robert Boltje, Deniz Yılmaz
Let A be an abelian group such that torn(A) is finite for every n ≥ 1 and let ${\mathbb{K}}$ be a field of characteristic zero containing roots of unity of all orders equal to finite element orders in A. In this paper we prove fundamental properties of the A-fibered Burnside ring functor ...... hiện toàn bộ
Lattices over Bass Rings and Graph Agglomerations
Algebras and Representation Theory - Tập 25 - Trang 669-704 - 2021
Nicholas R. Baeth, Daniel Smertnig
We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring R through the factorization theory of the corresponding monoid T(R). Results of Levy–Wiegand and Levy–Odenthal together with a study of the local case yield an explicit description of T(R). The monoid is typically neither factorial nor cancellative. Nevertheless, we construct a transfer ho...... hiện toàn bộ
Euler Characteristics of Quiver Grassmannians and Ringel-Hall Algebras of String Algebras
Algebras and Representation Theory - - 2010
Nicolas Haupt
We compute the Euler characteristics of quiver Grassmannians and quiver flag varieties of tree and band modules and prove their positivity. This generalizes some results by G. Cerulli Irelli (2010). As an application we consider the Ringel-Hall algebra ${\mathcal C}(A)$ of some string algebras A and comp...... hiện toàn bộ
The Prime Spectrum and the Extended Prime Spectrum of Noncommutative Rings
Algebras and Representation Theory - Tập 10 - Trang 257-270 - 2006
Igor Klep, Marcus Tressl
We investigate the prime spectrum of a noncommutative ring and its spectral closure, the extended prime spectrum. We construct a ring for which the prime spectrum is a spectral space different from the extended prime spectrum and we construct a von Neumann regular ring for which the prime spectrum is not a spectral space.
Phân loại đại số và hình học của đại số hai giao hoán nilpotent Dịch bởi AI
Algebras and Representation Theory - Tập 23 - Trang 2331-2347 - 2020
Pilar Páez-Guillán, Vasily Voronin, Ivan Kaygorodov
Chúng tôi phân loại các đại số hai giao hoán nilpotent bậc 4 phức tạp từ cả hai phương diện đại số và hình học.
#nilpotent #đại số hai giao hoán #đại số bậc 4 #phân loại #hình học #đại số
On *-Representations of Polynomial Algebras in Quantum Matrix Spaces of Rank 2
Algebras and Representation Theory - Tập 17 - Trang 1083-1093 - 2013
Olga Bershtein
In this paper we study *-representations for polynomial algebras on quantum matrix spaces. We deal with two special cases of the polynomial algebras, namely the algebra of polynomials on quantum complex matrices Mat2 and on quantum complex symmetric matrices $\mathrm{Mat_2^{sym}}$ . For the second algebra...... hiện toàn bộ
A Counter-Example to Martino’s Conjecture About Generic Calogero–Moser Families
Algebras and Representation Theory - Tập 17 - Trang 1323-1348 - 2013
Ulrich Thiel
The Calogero–Moser families are partitions of the irreducible characters of a complex reflection group derived from the block structure of the corresponding restricted rational Cherednik algebra. It was conjectured by Martino in 2009 that the generic Calogero–Moser families coincide with the generic Rouquier families, which are derived from the corresponding Hecke algebra. This conjecture is alrea...... hiện toàn bộ
Hecke Algebras of Normalizers of Parabolic Subgroups
Algebras and Representation Theory - Tập 26 - Trang 1609-1639 - 2022
Thomas Gobet, Ivan Marin
In the context of Hecke algebras of complex reflection groups, we prove that the generalized Hecke algebras of normalizers of parabolic subgroups are semidirect products, under suitable conditions on the parameters involved in their definition.
Tổng số: 967   
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