Results 31 to 40 of about 14,216 (300)
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 invariants of the third symmetric power representation of SL_2(F_p) [PDF]
, 2010 For a prime p>3, we compute a finite generating set for the SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and ...
R. James Shank +3 more
core +1 more source
SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
doaj +1 more source
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
core +1 more source
The Transfer in the Invariant Theory of Modular Permutation Representations II [PDF]
Canadian Mathematical Bulletin, 2001 AbstractIn this note we show that the image of the transfer for permutation representations of finite groups is generated by the transfers of special monomials. This leads to a description of the image of the transfer of the alternating groups. We also determine the height of these ideals.
openaire +3 more sources
An application of TQFT to modular representation theory [PDF]
Inventiones mathematicae, 2017 For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest ...
Gilmer, Patrick M., Masbaum, Gregor
openaire +5 more sources
Bulk reconstruction for spinor fields in AdS/CFT
Journal of High Energy Physics, 2020 We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable modes, work out the
Valentino F. Foit +2 more
doaj +1 more source
Localization and duality in topology and modular representation theory
Journal of Pure and Applied Algebra, 2008 \textit{W.~G. Dwyer}, \textit{S. Iyengar} and the second author took several concepts from commutative algebra and worked out what they meant for \(\mathbb{S}\)-algebras [Adv. Math. 200, No. 2, 357-402 (2006; Zbl 1155.55302)]. Recall that in algebraic topology, an \(\mathbb{S}\)-algebra is a ring spectrum in a category of spectra whose smash product is
Benson, David J., Greenlees, J.P.C.
openaire +1 more source
Механика машин, механизмов и материалов, 2022 The disadvantages of the traditional description of a mechanical engineering product are considered, which are based on features focused on single, typical and group operations of the technological process.
Boris M. Bazrov +5 more
doaj +1 more source
Mutual information superadditivity and unitarity bounds
Journal of High Energy Physics, 2021 We derive the property of strong superadditivity of mutual information arising from the Markov property of the vacuum state in a conformal field theory and strong subadditivity of entanglement entropy. We show this inequality encodes unitarity bounds for
Horacio Casini +2 more
doaj +1 more source