Results 1 to 10 of about 12,740,858 (240)
Topological Insulators from Group Cohomology [PDF]
Physical Review X, 2016 We classify insulators by generalized symmetries that combine space-time transformations with quasimomentum translations. Our group-cohomological classification generalizes the nonsymmorphic space groups, which extend point groups by real-space ...
A. Alexandradinata +2 more
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On gapped boundaries for SPT phases beyond group cohomology [PDF]
Journal of High Energy Physics, 2019 We discuss a strategy to construct gapped boundaries for a large class of symmetry-protected topological phases (SPT phases) beyond group cohomology. This is done by a generalization of the symmetry extension method previously used for cohomo- logical ...
Ryohei Kobayashi +2 more
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Group-cohomology refinement to classify $G$-symplectic manifolds [PDF]
, 2003 ``Pseudo-cohomology'', as a refinement of Lie group cohomology, is soundly studied aiming at classifying of the symplectic manifolds associated with Lie groups. In this study, the framework of symplectic cohomology provides fundamental new insight, which
Aldaya, V. +2 more
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Bulk-boundary correspondence for intrinsically gapless symmetry-protected topological phases from group cohomology [PDF]
Physical review B, 2022 Intrinsically gapless symmetry protected topological phases (igSPT) are gapless systems with SPT edge states with properties that could not arise in a gapped system with the same symmetry and dimensionality.
Rui Wen, A. Potter
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Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva +2 more
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Integral cohomology of quotients via toric geometry [PDF]
Épijournal de Géométrie Algébrique, 2022 We describe the integral cohomology of $X/G$ where $X$ is a compact complex manifold and $G$ a cyclic group of prime order with only isolated fixed points.
Grégoire Menet
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Dieudonné theory via cohomology of classifying stacks
Forum of Mathematics, Sigma, 2021 We prove that if G is a finite flat group scheme of p-power rank over a perfect field of characteristic p, then the second crystalline cohomology of its classifying stack $H^2_{\text {crys}}(BG)$ recovers the Dieudonné module of G.
Shubhodip Mondal
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BD algebras and group cohomology
Comptes Rendus. Mathématique, 2021 BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). The equation defining the BD operator has the same structure as the equation for BV algebras, but the BD operator
Todea, Constantin-Cosmin
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’t Hooft Anomalies of Discrete Gauge Theories and Non-abelian Group Cohomology [PDF]
Communications in Mathematical Physics, 2018 We study discrete symmetries of Dijkgraaf–Witten theories and their gauging in the framework of (extended) functorial quantum field theory. Non-abelian group cohomology is used to describe discrete symmetries and we derive concrete conditions for such a ...
L. Müller, R. Szabo
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First and Second Module Cohomology Groups for Non Commutative Semigroup Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2020 Let $S$ be a (not necessarily commutative) Clifford semigroup with idempotent set $E$. In this paper, we show that the first (second) Hochschild cohomology group and the first (second) module cohomology group of semigroup algbera $\ell^1(S)$ with ...
Ebrahim Nasrabadi
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