Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Mihalis Maliakas"'
Let $K$ be an infinite field of characteristic $p>0$ and let $\lambda, \mu$ be partitions, where $\mu$ has two parts. We find sufficient arithmetic conditions on $p, \lambda, \mu$ for the existence of a nonzero homomorphism $\Delta(\lambda) \to \Delt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eea86986901a4e76440e901637c3f6d
http://arxiv.org/abs/2107.11842
http://arxiv.org/abs/2107.11842
We determine the integral extension groups $Ext^1({\Delta}(h),{\Delta}(h(k)))$ and $Ext^k({\Delta}(h),{\Delta}(h(k)))$, where ${\Delta}(h),{\Delta}(h(k))$ are the Weyl modules of the general linear group $GL_n$ corresponding to the hook partitions $h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d80f0af07b80cf5602e881a0e61f46bc
Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4d6746c011ec33d800b35b2ae3060a2
Autor:
Mihalis Maliakas
Publikováno v:
Communications in Algebra. 39:992-1006
We construct Weyl resolutions associated to certain Frobenius twists of divided powers. Using these and other related complexes we obtain the Weyl filtration dimension of the Schur algebras S(2,r), a result due to A. Parker.
Comment: 17 pages
Comment: 17 pages
Autor:
Mihalis Maliakas
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 124:73-80
For G a classical group of type Bn, Cn or Dn defined over an algebraically closed field (of characteristic other than two if G is a special orthogonal group), we show that the centralizer algebra of G on the space of endomorphisms of the module of tr
Autor:
Mihalis Maliakas
Publikováno v:
Journal of Combinatorial Theory, Series A. 76:323-327
Autor:
Mihalis Maliakas
Publikováno v:
Journal of Algebra. 180(3):679-690
Autor:
Mihalis Maliakas
Publikováno v:
Advances in Mathematics. 117(1):1-16
Autor:
Mihalis Maliakas
Publikováno v:
Linear and Multilinear Algebra. 38:283-294
In a recent article, King and Welsh prove a standard basis theorem for the orthogonal groups over a field of characteristic zero utilizing certain tableaux of Proctor that are related to Gelfand patterns. The purpose of the present paper is to extend
Autor:
Mihalis Maliakas
Publikováno v:
Communications in Algebra. 23:421-436