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Displaying 221 – 240 of 456

Les motifs de Tate et les opérateurs de périodicité de Connes

Abhishek Banerjee (2014)

Annales mathématiques Blaise Pascal

Dans cet article, nous définissons une catégorie ${\tilde{M o t}}_{C}$ des motifs sur une catégorie monoïdale symétrique $(C, \otimes, 1)$ vérifiant certaines hypothèses. Le rôle des espaces sur $(C, \otimes, 1)$ est joué par les monoïdes (non necessairement commutatifs) dans $C$ . Pour définir les morphismes dans ${\tilde{M o t}}_{C}$ , nous utilisons des classes dans les groupes d’homologie cyclique bivariante. Le but est de montrer que les opérateurs de périodicité de Connes induisent des morphismes $M \otimes 𝕋^{\otimes 2} ⟶ M$ dans ${\tilde{M o t}}_{C}$ , où $𝕋$ est le motif de Tate dans ${\tilde{M o t}}_{C}$ .

Lie perfect, Lie central extension and generalization of nilpotency in multiplicative Lie algebras

Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar (2024)

Czechoslovak Mathematical Journal

This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras. The...

Loop spaces of the Q-construction

A. Neeman (2000)

Fundamenta Mathematicae

Giffen in [1], and Gillet-Grayson in [3], independently found a simplicial model for the loop space on Quillen's Q-construction. Their proofs work for exact categories. Here we generalise the results to the K-theory of triangulated categories. The old proofs do not generalise. Our new proof, aside from giving the generalised result, can also be viewed as an amusing new proof of the old theorems of Giffen and Gillet-Grayson.

L-theory and dihedral homology.

Guillermo Cortinas (1993)

Mathematica Scandinavica

L-values and the Fitting ideal of the tame kernel for relative quadratic extensions

Jonathan W. Sands (2008)

Acta Arithmetica

Mackey functors on compact closed categories.

Panchadcharam, E., Street, R. (2007)

Journal of Homotopy and Related Structures

MacLane homology and topological Hochschild homology.

Z. Fiedorowicz, T. Pirashvili (1995)

Mathematische Annalen

Matrices of positive polynomials.

Handelman, David (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Matsumoto $K$ -groups associated to certain shift spaces.

Carlsen, Toke Meier, Eilers, Søren (2004)

Documenta Mathematica

Milnor’s conjecture on quadratic forms and $m o d; 2$ motivic complexes

Fabien Morel (2005)

Rendiconti del Seminario Matematico della Università di Padova

Modular representations of finite groups with trivial restriction to Sylow subgroups

Paul Balmer (2013)

Journal of the European Mathematical Society

Let $k$ be a field of characteristic $p$ . Let $G$ be a finite group of order divisible by $p$ and $P$ a $p$ -Sylow subgroup of $G$ . We describe the kernel of the restriction homomorphism $T (G) \to T (P)$ , for $T (-)$ the group of endotrivial representations. Our description involves functions $G \to k^{\times}$ that we call weak $P$ -homomorphisms. These are generalizations to possibly non-normal $P \leq G$ of the classical homomorphisms $G / P \to k^{\times}$ appearing in the normal case.

Monoidal categories for Morita theory

Enrico M. Vitale (1992)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Motifs de dimension finie

Yves André (2003/2004)

Séminaire Bourbaki

On sait que les groupes de Chow d’une variété projective ne sont pas de type fini, et ne peuvent même être paramétrés par une variété algébrique, en général. Pourtant, S.-I. Kimura et P. O’Sullivan ont conjecturé (indépendamment l’un de l’autre) que les motifs de Chow, définis en termes de correspondances algébriques modulo l’équivalence rationnelle, sont de “dimension finie”au sens où, tout comme les super-fibrés vectoriels, ils sont somme d’un facteur dont une puissance extérieure est nulle et...

Motivic cohomology and unramified cohomology of quadrics

Bruno Kahn, R. Sujatha (2000)

Journal of the European Mathematical Society

This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension $\leq 4$ and $\geq 11$ . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics....

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