2016, University lecture series, ISBN 9781470431051, Volume 66, xi, 160 pages

Book

2012, Mathematical surveys and monographs, ISBN 9780821869208, Volume no. 180., xii, 380

Book

2017, University Lecture Series, ISBN 147044187X, Volume 69, 151 pages

Book

Journal of Lie theory, ISSN 0949-5932, 1994

Journal

2017, Cambridge studies in advanced mathematics, ISBN 1107167485, Volume 170, xiv, 644 pages

"Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of...

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Group theory | Geometry, Algebraic | Differential algebraic groups | Affine algebraic groups | Linear algebraic groups

Book

2016, 2nd edition., Student mathematical library, ISBN 1470427222, Volume 79., viii, 239

Group theory and generalizations | Research exposition (monographs, survey articles) | Matrix groups | Representation theory of groups | General properties and structure of real Lie groups | Compact groups | Lie groups | Linear algebraic groups and related topics | Linear algebraic groups over the reals, the complexes, the quaternions | Topological groups, Lie groups | Group rings of finite groups and their modules | Linear algebraic groups

Book

2011, Graduate studies in mathematics, ISBN 9780821853184, Volume 122, xiv, 225

"Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories,...

Morphisms (Mathematics) | Differential algebraic groups | Galois theory

Morphisms (Mathematics) | Differential algebraic groups | Galois theory

Book

2011, Student mathematical library, ISBN 9780821853511, Volume 59, vii, 228

Book

2017, 1, ISBN 9781498768290, xvii, 444 pages

The first part of this book introduces the Schubert Cells and varieties of the general linear group Gl (k^(r+1)) over a field k according to Ehresmann...

Schubert varieties | Buildings (Group theory) | Linear algebraic groups | Geometry, Algebraic | Geometry | Combinatorics | Number Theory | Algebraic Geometry | Mathematics

Schubert varieties | Buildings (Group theory) | Linear algebraic groups | Geometry, Algebraic | Geometry | Combinatorics | Number Theory | Algebraic Geometry | Mathematics

Book

2015, Graduate studies in mathematics, ISBN 1470421968, Volume 164., xiii, 303 pages

Book

2016, Annals of mathematics studies, ISBN 0691167931, Volume no. 191, vii, 245

In the earlier monographPseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups. In this...

Linear algebraic groups | Group theory | Geometry, Algebraic | Geometry | Mathematics | Number Theory | Algebraic | Mathematical Analysis

Linear algebraic groups | Group theory | Geometry, Algebraic | Geometry | Mathematics | Number Theory | Algebraic | Mathematical Analysis

Book

2017, EMS series of congress reports, ISBN 9783037191712, x, 763 pages

From April 2009 until March 2016, the German Science Foundation supported generously the Priority Program SPP 1388 in Representation Theory. The core...

Representations of Lie groups | Affine algebraic groups | Finite groups | Lie algebras | Representations of groups | Representations of algebras

Representations of Lie groups | Affine algebraic groups | Finite groups | Lie algebras | Representations of groups | Representations of algebras

Book

2003, OXFORD GRADUATE TEXTS IN MATHEMATICS; 10., ISBN 0198528310

Book

2017, Mathematical surveys and monographs, ISBN 147043623X, Volume no. 222., x, 344 pages

"The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays...

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Forms and linear algebraic groups | Classical groups | Geometry, Differential | Number theory

Book

2017, Graduate studies in mathematics, ISBN 9781470425562, Volume 184, x, 334 pages

Book

Representation Theory of the American Mathematical Society, ISSN 1088-4165, 02/2020, Volume 24, Issue 3, pp. 85 - 114

Let A be an abelian variety over a field. The homogeneous (or translation-invariant) vector bundles over A form an abelian category {\rm HVec}_A; the...

ALGEBRAIC-GROUPS | MATHEMATICS | EXTENSIONS

ALGEBRAIC-GROUPS | MATHEMATICS | EXTENSIONS

Journal Article

Journal of Algebra, ISSN 0021-8693, 04/2017, Volume 475, pp. 61 - 79

Let G be a simple simply connected algebraic group over an algebraically closed field k of characteristic p, with Frobenius kernel G(1). It is known that when...

Cohomology | Representations of algebraic groups | Frobenius kernels | Extensions of algebraic groups | ALGEBRAIC-GROUPS | MATHEMATICS | MODULES

Cohomology | Representations of algebraic groups | Frobenius kernels | Extensions of algebraic groups | ALGEBRAIC-GROUPS | MATHEMATICS | MODULES

Journal Article

MICHIGAN MATHEMATICAL JOURNAL, ISSN 0026-2285, 2019, Volume 68, Issue 2, pp. 277 - 299

We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, our main theorem gives bounds on...

ALGEBRAIC-GROUPS | MATHEMATICS

ALGEBRAIC-GROUPS | MATHEMATICS

Journal Article

2013, 1st ed., Numerical mathematics and scientific computation, ISBN 9780199655410, Volume 9780199655410, xv, 391

This book offers a detailed treatment of the mathematical theory of Krylov subspace methods with focus on solving systems of linear algebraic equations....

Sparse matrices | Applied Mathematics | Algebra | Mathematical optimization | Conjugate gradient method | Cost of computations | Problem of moments | Krylov subspace methods | GMRES | Orthogonal polynomials | Projection methods | Jacobi matrices | Cyclic invariant subspaces | Short recurrences | Continued fractions | Convergence analysis | Iterative methods (Mathematics)

Sparse matrices | Applied Mathematics | Algebra | Mathematical optimization | Conjugate gradient method | Cost of computations | Problem of moments | Krylov subspace methods | GMRES | Orthogonal polynomials | Projection methods | Jacobi matrices | Cyclic invariant subspaces | Short recurrences | Continued fractions | Convergence analysis | Iterative methods (Mathematics)

Book

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