Results 1 to 10 of about 229,775 (283)
Antiunitary representations and modular theory [PDF]
Banach Center Publications, 2017 Antiunitary representations of Lie groups take values in the group of unitary and antiunitary operators on a Hilbert space H. In quantum physics, antiunitary operators implement time inversion or a PCT symmetry, and in the modular theory of operator algebras they arise as modular conjugations from cyclic separating vectors of von Neumann algebras.
Neeb, Karl-Hermann, Olafsson, Gestur
openaire +2 more sources
Kronecker positivity and 2-modular representation theory [PDF]
Transactions of the American Mathematical Society, Series B, 2021 This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence ...
Bowman-Scargill, Chris +2 more
openaire +6 more sources
Ghosts in modular representation theory
Advances in Mathematics, 2008 15 pages, final version, to appear in Advances in Mathematics.
Chebolu, Sunil K. +2 more
openaire +2 more sources
Solvable groups and modular representation theory [PDF]
Transactions of the American Mathematical Society, 1962 In [4] the representation theory of finite solvable groups was studied, and under the assumption of solvability, it was shown that several conjectures of R. Brauer arising from modular representation theory were true. These conjectures are presumably true without the assumption of solvability.
openaire +2 more sources
Blob algebra approach to modular representation theory [PDF]
Proceedings of the London Mathematical Society, 2020 Two decades ago P. Martin and D. Woodcock made a surprising and prophetic link between statistical mechanics and representation theory. They observed that the decomposition numbers of the blob algebra (that appeared in the context of transfer matrix algebras) are Kazhdan-Lusztig polynomials in type $\tilde{A}_1$.
Libedinsky, N, Plaza, D
openaire +4 more sources
Galois Theory of Thick Subcategories in Modular Representation Theory
Journal of Algebra, 2000 Let \(B\) be a finite-dimensional cocommutative Hopf algebra over a field \(K\). A full subcategory \(\mathcal C\) of the category \(B\)-mod of finitely generated \(B\)-modules is called thick if it is closed under direct summands and satisfies the following condition: whenever \(0\to M'\to M\to M''\to 0\) is a short exact sequence in \(B\)-mod and two
Hovey, Mark, Palmieri, John H
openaire +2 more sources
The modular representation theory of $q$-Schur algebras [PDF]
Transactions of the American Mathematical Society, 1992 [For part II cf. Math. Z. 208, No. 4, 503-536 (1991; Zbl 0724.20011).] It is known that the representation theory of classical Schur algebras is equivalent to the theory of polynomial representations of general linear groups. The \(q\)-Schur algebras in the present paper are some \(q\)- analogues of classical Schur algebras. Let \(\mathbb{Q}[u^{1/2}]\)
openaire +1 more source
Phantom Maps and Purity in Modular Representation Theory, II [PDF]
Algebras and Representation Theory, 1999 [For part I see Fundam. Math. 161, No. 1-2, 37-91 (1999; Zbl 0944.20004).] The authors produce examples of filtered systems in the stable module category of \(kG\) which do not lift to filtered systems in the module category of \(kG\); here \(kG\) denotes the group algebra of a finite group \(G\) over a field of characteristic \(p>0\).
Benson, D. J., Gnacadja, G. Ph.
openaire +3 more sources
Modular representation theory of BIB designs
Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanaki, Akihide +2 more
openaire +2 more sources
LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS [PDF]
Journal of the Australian Mathematical Society, 2021 AbstractThese notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula and geometric representation theory. They are based on the first author's notes from a lecture series delivered by the second author at the Simons Centre for Geometry ...
Ciappara, Joshua, Williamson, Geordie
openaire +2 more sources