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Displaying 1341 – 1360 of 3053

Knit products of graded Lie algebras and groups

Michor, Peter W. (1990)

Proceedings of the Winter School "Geometry and Physics"

Let $A = ⨁_{k} A_{k}$ and $B = ⨁_{k} B_{k}$ be graded Lie algebras whose grading is in $𝒵$ or $𝒵_{2}$ , but only one of them. Suppose that $(α, β)$ is a derivatively knitted pair of representations for $(A, B)$ , i.e. $α$ and $β$ satisfy equations which look “derivatively knitted"; then $A \oplus B : = ⨁_{k, l} (A_{k} \oplus B_{l})$ , endowed with a suitable bracket, which mimics semidirect products on both sides, becomes a graded Lie algebra $A \oplus_{(α, β)} B$ . This graded Lie algebra is called the knit product of $A$ and $B$ . The author investigates the general situation for any graded Lie subalgebras $A$ and $B$ of a graded...

Knot polynomials and Vassiliev's invariants.

Joan S. Birman, Xiao-Song Lin (1993)

Inventiones mathematicae

Ko for nonunital rings and Morita invariance.

Daniel Quillen (1996)

Journal für die reine und angewandte Mathematik

Kobordismentheorie klassifizierender Räume und Transformationsgruppen.

Tammo tom Dieck (1972)

Mathematische Zeitschrift

Koszul DG-algebras Arising from Configuration Spaces.

R. Bezrukavnikov (1994)

Geometric and functional analysis

Koszul duality and equivariant cohomology.

Franz, Matthias (2006)

Documenta Mathematica

K-théorie algébrique et K-théorie topologique II.

Max, Villamayor, O. Karoubi (1973)

Mathematica Scandinavica

K-theory and the enriched Tits building.

Nori, M.V., Srinivas, V. (2010)

Documenta Mathematica

K-theory from the point of view of C*-algebras and Fredholm representations

Alexandr Mishchenko (2005)

Open Mathematics

These notes represent the subject of five lectures which were delivered as a minicourse during the VI conference in Krynica, Poland, “Geometry and Topology of Manifolds”, May, 2–8, 2004.

K-theory of mapping class groups: general p-adic K-theory for punctured spheres.

Luke Hodgkin (1995)

Mathematische Zeitschrift

K-Theory Operations in Mod p Loop Spaces.

Clarence Wilkerson (1973)

Mathematische Zeitschrift

Künneth-style formula for the homology of Leibniz algebras.

Jean-Louis Loday (1996)

Mathematische Zeitschrift

$L_{2}$ -cohomology and intersection homology of locally symmetric varieties, II

Steven Zucker (1986)

Compositio Mathematica

$L^{2}$ -cohomology of locally symmetric varieties

Eduard Looijenga (1988)

Compositio Mathematica

L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train)

Yves Félix, Stephen Halperin, Jean-Claude Thomas (1983)

Bulletin de la Société Mathématique de France

L1-cohomology of normal algebraic surfaces. I.

V. Pati, W.C. Hsiang (1985)

Inventiones mathematicae

L2 Cohomology and Warped Products and Arithmetic Groups.

Steven Zucker (1982/1983)

Inventiones mathematicae

L2-Cohomologie des espaces stratifiés.

J. Brasselet, G. Hector, M. Saralegi (1992)

Manuscripta mathematica

L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.

L. Saper (1985)

Inventiones mathematicae

L²-homology and reciprocity for right-angled Coxeter groups

Boris Okun, Richard Scott (2011)

Fundamenta Mathematicae

Let W be a Coxeter group and let μ be an inner product on the group algebra ℝW. We say that μ is admissible if it satisfies the axioms for a Hilbert algebra structure. Any such inner product gives rise to a von Neumann algebra $_{μ}$ containing ℝW. Using these algebras and the corresponding von Neumann dimensions we define $L ²_{μ}$ -Betti numbers and an $L ²_{μ}$ -Euler charactersitic for W. We show that if the Davis complex for W is a generalized homology manifold, then these Betti numbers satisfy a version of Poincaré...

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