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(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2021; 23 (1)

The (co)homology self-closeness number of a simply-connected based CW-complex X is the minimal number k such that any self-map f of X inducing an auto......

KOSZUL DUALITY AND THE HOCHSCHILD COHOMOLOGY OF ARTIN-SCHELTER REGULAR ALGEBRAS

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2020; 22 (2)

We identify two Batalin-Vilkovisky algebra structures, one obtained by Kowalzig and Krahmer on the Hochschild cohomology of an Artin-Schelter regular ......

HOMOTOPY CARTESIAN DIAGRAMS IN n-ANGULATED CATEGORIES

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2019; 21 (2)

It has been proved by Bergh and Thaule that the higher mapping cone axiom is equivalent to the higher octahedral axiom for n-angulated categories. In ......

JIF:0.63

PERIODIC PROBLEM ON HOMOTOPY GROUPS OF CHANG COMPLEXES C(r)n+2,r

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2019; 21 (2)

In this paper, we find new examples, namely one class of Chang complexes C-r(n+2,r), such that their stable homotopy groups are direct summands of the......

JIF:0.63

A MOMENT-ANGLE MANIFOLD WHOSE COHOMOLOGY HAS TORSION

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2019; 21 (2)

In this paper we give a method to construct moment-angle manifolds whose cohomology has torsion. We also give method to describe the corresponding sim......

JIF:0.63

DIFFERENTIAL GRADED ALGEBRAS OVER SOME REDUCTIVE GROUPS

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2019; 21 (2)

In this paper, we study the general properties of commutative differential graded algebras in the category of representations over a reductive algebra......

JIF:0.63

SUPPORT VARIETIES FOR HECKE ALGEBRAS

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2019; 21 (2)

Let H-q(d) be the Iwahori-Hecke algebra for the symmetric group, Sigma(d), where q is a primitive lth root of unity. In this paper we develop a theory......

JIF:0.63

ON THE BOREL TRANSGRESSION IN THE FIBRATION G -> G/T

期刊: HOMOLOGY HOMOTOPY AND APPLICATIONS, 2018; 20 (1)

Let G be a semisimple Lie group with a maximal torus T. We present an explicit formula for the Borel transgression tau : H-l(T) ->center dot H-2(G/......

JIF:0.63

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