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pro vyhledávání: '"Tange, Rudolf"'
Autor:
Tange, Rudolf
Let $k$ be an algebraically closed field of characteristic $p>0$, let G=GL_n be the general linear group over $k$, let g=gl_n be its Lie algebra and let $D_s$ be subalgebra of the divided power algebra of g^* spanned by the divided power monomials wi
Externí odkaz:
http://arxiv.org/abs/2307.03037
Autor:
Tange, Rudolf
Let k be an algebraically closed field of characteristic p>0 and let G be a symplectic or general linear group over k. We consider induced modules for G under the assumption that p is bigger than the greatest hook length in the partitions involved. W
Externí odkaz:
http://arxiv.org/abs/2109.10709
Autor:
Tange, Rudolf
Let k be an algebraically closed field of characteristic p>0. We compute the Weyl filtration multiplicities in indecomposable tilting modules and the decomposition numbers for the general linear group over k in terms of cap diagrams under the assumpt
Externí odkaz:
http://arxiv.org/abs/2011.05564
Autor:
Li, Henri, Tange, Rudolf
Let k be an algebraically closed field of characteristic p>2. We compute the Weyl filtration multiplicities in indecomposable tilting modules and the decomposition numbers for the symplectic group over k in terms of cap-curl diagrams under the assump
Externí odkaz:
http://arxiv.org/abs/2011.03606
Autor:
Tange, Rudolf
Let k be an algebraically closed field of characteristic p>0 and let G be a connected reductive group over k. Let B be a Borel subgroup of G and let g and b be the Lie algebras of G and B. Denote the first Frobenius kernels of G and B by G_1 and B_1.
Externí odkaz:
http://arxiv.org/abs/1710.11022
Autor:
Dent, Adam, Tange, Rudolf
Let k be an algebraically closed field of arbitrary characteristic. First we give explicit bases for the highest weight vectors for the action of GL_r x GL_s on the coordinate ring k[Mat_{rs}^m] of m-tuples of r x s-matrices. It turns out that this i
Externí odkaz:
http://arxiv.org/abs/1610.06948
Autor:
Tange, Rudolf
Let G be a reductive group over an algebraically closed field of characteristic p>0. We study properties of embeddings of spherical homogeneous G-spaces. We look at Frobenius splittings, canonical or by a (p-1)-th power, compatible with certain subva
Externí odkaz:
http://arxiv.org/abs/1603.04705
Autor:
Tange, Rudolf
Let $G={\rm GL}_n$ be the general linear group over an algebraically closed field $k$, let $\mathfrak g=\mathfrak gl_n$ be its Lie algebra and let $U$ be the subgroup of $G$ which consists of the upper uni-triangular matrices. Let $k[\mathfrak g]$ be
Externí odkaz:
http://arxiv.org/abs/1502.04867
Autor:
Tange, Rudolf
Let G=GL_n be the general linear group over an algebraically closed field k and let g=gl_n be its Lie algebra. Let U be the subgroup of G which consists of the upper unitriangular matrices. Let k[g] be the algebra of polynomial functions on g and let
Externí odkaz:
http://arxiv.org/abs/1307.6678
Autor:
Tange, Rudolf
Let G=GL_n be the general linear group over an algebraically closed field k and let g=gl_n be its Lie algebra. Let U be the subgroup of G which consists of the upper unitriangular matrices. Let k[g] be the algebra of regular functions on $\g$. For 2(
Externí odkaz:
http://arxiv.org/abs/1102.0310