On gapped boundaries for SPT phases beyond group cohomology
A bstract 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 …
protected topological phases (SPT phases) beyond group cohomology. This is done by a …
On Peterson's open problem and representations of the general linear groups
DV Phuc - arXiv preprint arXiv:1907.08768, 2019 - arxiv.org
Fix $\mathbb Z/2$ is the prime field of two elements and write $\mathcal A_2 $ for the mod
$2 $ Steenrod algebra. Denote by $ GL_d:= GL (d,\mathbb Z/2) $ the general linear group of …
$2 $ Steenrod algebra. Denote by $ GL_d:= GL (d,\mathbb Z/2) $ the general linear group of …
The characteristic classes and Weyl invariants of Spinor groups
H Duan - arXiv preprint arXiv:1810.03799, 2018 - arxiv.org
Based on a pair of cohomology operations on so called $\delta-2$-formal spaces, we
construct the integral cohomology rings of the classifying spaces of the Lie groups $ Spin (n) …
construct the integral cohomology rings of the classifying spaces of the Lie groups $ Spin (n) …
A note on the unstability conditions of the Steenrod squares on the polynomial algebra
AS Janfada - Journal of the Korean Mathematical Society, 2009 - koreascience.kr
A NOTE ON THE UNSTABILITY CONDITIONS OF THE STEENROD SQUARES ON THE
POLYNOMIAL ALGEBRA 1. Preliminaries In 1947, Steenrod [21] i Page 1 J. Korean Math. Soc …
POLYNOMIAL ALGEBRA 1. Preliminaries In 1947, Steenrod [21] i Page 1 J. Korean Math. Soc …
Mod-two cohomology rings of alternating groups
C Giusti, D Sinha - Journal für die reine und angewandte Mathematik …, 2021 - degruyter.com
We calculate the direct sum of the mod-two cohomology of all alternating groups, with both
cup and transfer product structures, which in particular determines the additive structure and …
cup and transfer product structures, which in particular determines the additive structure and …
Mod-two cohomology rings of alternating groups
C Giusti, D Sinha - arXiv preprint arXiv:1705.01141, 2017 - arxiv.org
We calculate the mod-two cohomology of all alternating groups together, with both cup and
transfer product structures, which in particular determines the additive structure and ring …
transfer product structures, which in particular determines the additive structure and ring …
The odd-primary Kudo–Araki–May algebra of algebraic Steenrod operations and invariant theory
DJ Pengelley, F Williams - Geometry & Topology Monographs, 2007 - msp.org
We describe bialgebras of lower-indexed algebraic Steenrod operations over the field with p
elements, p an odd prime. These go beyond the operations that can act nontrivially in …
elements, p an odd prime. These go beyond the operations that can act nontrivially in …
On the relation between Dyer-Lashof algebra and the hit problems
H Zare - arXiv preprint arXiv:1603.06271, 2016 - arxiv.org
The aim of this note is to use geometric methods to study the hit problem of Peterson for $
H_*\mathbb {R} P^{\times k} $ as well as the symmetric hit problem of Janfada and Wood for …
H_*\mathbb {R} P^{\times k} $ as well as the symmetric hit problem of Janfada and Wood for …
Beyond the hit problem: Minimal presentations of odd-primary Steenrod modules, with application to CP (∞)andBU
DJ Pengelley, F Williams - 2007 - projecteuclid.org
We describe a minimal unstable module presentation over the Steenrod algebra for the odd-
primary cohomology of infinite-dimensional complex projective space and apply it to obtain …
primary cohomology of infinite-dimensional complex projective space and apply it to obtain …