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Buildings of spherical type and finite BN-pairs /
Published 1974Subjects: “…Linear algebraic groups…”
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Variable structure systems with application to economics and biology : proceedings /
Published 1975Subjects: “…Linear algebraic groups…”
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Two-Round Multi-Signatures from Okamoto Signatures
Published 2023-07-01Subjects: Get full text
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A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure
Published 2022-01-01Subjects: Get full text
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A Solution of Single Server and Multiserver General Queueing Systems Using a Linear Algebraic Approach
Published 1995Subjects: “…Linear algebraic groups - Case studies…”
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Perverse coherent sheaves and algebraic K-theory of Kac-Moody flag varieties
Published 2022Subjects:Thesis -
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On enhanced general linear groups: nilpotent orbits and support variety for Weyl module
Published 2023-04-01“…Associated with a reductive algebraic group $ G $ and its rational representation $ (\rho, M) $ over an algebraically closed filed $ {\bf{k}} $, the authors define the enhanced reductive algebraic group $ {\underline{G}}: = G\ltimes_\rho M $, which is a product variety $ G\times M $ and endowed with an enhanced cross product in <sup>[<xref ref-type="bibr" rid="b5">5</xref>]</sup>. …”
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Stratifying quotient stacks and moduli stacks
Published 2018“…Recent results in geometric invariant theory (GIT) for non-reductive linear algebraic group actions allow us to stratify quotient stacks of the form [X∕H], where X is a projective scheme and H is a linear algebraic group with internally graded unipotent radical acting linearly on X, in such a way that each stratum [S∕H] has a geometric quotient S∕H. …”
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The Bernstein center in natural characteristic
Published 2023“…In particular, when the algebraic group is semisimple, we show that $\mathfrak{Z}(G) = k[Z(G)]$.…”
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Elekes-Szabó for groups, and approximate subgroups in weak general position
Published 2023-05-01“…This is an interesting contribution to the Elekes-Szabo problem and to the study of nilprogressions in nilpotent algebraic groups, and it also contains a new Mordell-Lang type result for general commutative algebraic groups.…”
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CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture
Published 2021-01-01“…To obtain these results, we construct an analogue of Kisin’s algebraic group for a $K3$ surface of finite height and construct characteristic $0$ liftings of the $K3$ surface preserving the action of tori in the algebraic group. …”
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Divisorial contractions to codimension three orbits
Published 2021-07-01“…Let $G$ be a connected algebraic group. We study $G$-equivariant extremal contractions whose centre is a codimension three $G$-simply connected orbit. …”
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Torus Actions on Quotients of Affine Spaces
Published 2023-08-01“…We study the locus of fixed points of a torus action on a GIT quotient of a complex vector space by a reductive complex algebraic group which acts linearly. We show that, under the assumption that $G$ acts freely on the stable locus, the components of the fixed point locus are again GIT quotients of linear subspaces by Levi subgroups.…”
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