Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Barry Jessup"'
Publikováno v:
Proceedings of the American Mathematical Society. 148:1945-1952
We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.
7 pages
7 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0ba2f97eb86bdc93738e05cd6366930
https://doi.org/10.1090/proc/14890
https://doi.org/10.1090/proc/14890
Publikováno v:
Journal of Pure and Applied Algebra. 213:231-240
We verify the assertion made by Sullivan at the 1974 ICM congress, and previously in print, in Appendix G of the seminal paper "Differential Forms and the Topology of Manifolds" in 1973, that the rational de Rham algebra A(PL)(K) of a finite simplici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d71b4fde5e6dec10e840d783d2fe54e
https://doi.org/10.1016/j.jpaa.2008.06.011
https://doi.org/10.1016/j.jpaa.2008.06.011
Autor:
Barry Jessup, Grant Cairns
Publikováno v:
Proceedings of the American Mathematical Society. 136:1919-1923
If Z Z is the centre of the Lie algebra L L , its cohomology H ∗ ( L ) H^*(L) is naturally a module over the exterior algebra Λ Z \Lambda Z . Under suitable hypotheses on L L , motivated by recent work by Pouseele and Tirao, we find free summands
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f649d8ed4d752ca68fd4e60aa17b228
https://doi.org/10.1090/s0002-9939-08-09250-2
https://doi.org/10.1090/s0002-9939-08-09250-2
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 137:559-570
An elliptic space is one whose rational homotopy and rational cohomology are both finite dimensional. David Anick conjectured that any simply connected finite CW-complex S can be realized as the k-skeleton of some elliptic complex as long as k > dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93fa88df240820410248bdf40054ab88
https://doi.org/10.1017/s0305004104007777
https://doi.org/10.1017/s0305004104007777
Autor:
Barry Jessup, Gregory Lupton
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 137:191-207
We prove the toral rank conjecture of Halperin in some new cases. Our results apply to certain elliptic spaces that have a two-stage Sullivan minimal model, and are obtained by combining new lower bounds for the dimension of the cohomology and new up
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ddf162194e12ebbff6a87a64ac47d9a
https://doi.org/10.1017/s0305004103007242
https://doi.org/10.1017/s0305004103007242
Autor:
Barry Jessup, Grant Cairns
Publikováno v:
Scopus-Elsevier
If L is a Lie algebra over R and Z its centre, the natural inclusion Z → (L*)* extends to a representation i*: ΛZ → End H*(L,R) of the exterior algebra of Z in the cohomology of L. We begin a study of this representation by examining its Poincar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::339b8e69bf3ec503a505f5921f3c369c
https://doi.org/10.1090/s0002-9947-03-03392-0
https://doi.org/10.1090/s0002-9947-03-03392-0
Autor:
Maxence Cuvilliez, Barry Jessup
Publikováno v:
Proceedings of the American Mathematical Society. 131:2223-2233
We provide new upper and lower bounds for the rational LS-category of a rational fibration ξ: F → E → K(Q, 2n) of simply connected spaces that depend on a measure of the triviality of ξ which is strictly finer than the vanishing of the higher h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fc2788902f7d552a52a7153a13c311a
https://doi.org/10.1090/s0002-9939-02-06772-2
https://doi.org/10.1090/s0002-9939-02-06772-2
Publikováno v:
Journal of Pure and Applied Algebra. 174:117-133
If F → E → B is a fibration, a classical result of Varadarajan asserts that cat E⩽ cat F+ cat B( cat F+1) , where cat S denotes the Lusternik–Schnirelmann category of S . We give improved upper bounds in the rational case of the form cat 0 E
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45c4675efe85eaf773e85d3f21b0d698
https://doi.org/10.1016/s0022-4049(02)00039-7
https://doi.org/10.1016/s0022-4049(02)00039-7
Autor:
J. Alexander, Barry Jessup
Publikováno v:
Journal of Pure and Applied Algebra. 173(3):235-244
Explicit formulae for rational Lusternik–Schnirelman (L–S) category (cat0) are rare, but some are available for a class of spaces which includes homogeneous spaces G/H when H is a product of at most 3 rank 1 groups, and rankG−rankH⩽1. We exte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b49389c2d17a8455b2302ed8ff9f7f25
Autor:
Barry Jessup, Sonia Ghorbal
Publikováno v:
Proceedings of the American Mathematical Society. 129:1833-1842
An elliptic space is one whose rational homotopy and rational cohomol- ogy are both flnite dimensional. We prove, for Toomer's invariant, two improvements of the estimate of the Mapping theorem relying on data from the homotopy Lie al- gebra of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf3c21ee8976e1a608c7009152b11a0f
https://doi.org/10.1090/s0002-9939-00-05739-7
https://doi.org/10.1090/s0002-9939-00-05739-7