Results 1 to 10 of about 10,370 (163)
On the Killing form of Lie Algebras in Symmetric Ribbon Categories [PDF]
, 2015 As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form.
Buchberger, Igor, Fuchs, Jürgen
core +4 more sources
, 2019 Contramodules are module-like algebraic structures endowed with infinite summation (or, occasionally, integration) operations satisfying natural axioms. Introduced originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings,
Positselski, Leonid
core +3 more sources
Higher Hochschild cohomology of the Lubin-Tate ring spectrum [PDF]
, 2014 We give a method for computing factorization homology of $\oper{E}_n$-algebra using as an input an algebraic version of higher Hochschild homology due to Pirashvili.
Horel, Geoffroy
core +2 more sources
Homotopical Algebraic Context over Differential Operators [PDF]
, 2017 Building on previous works, we show that the category of non-negatively graded chain complexes of $D_X$-modules -- where $X$ is a smooth affine algebraic variety over an algebraically closed field of characteristic zero -- fits into a homotopical ...
Di Brino, Gennaro +2 more
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Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories [PDF]
, 2016 By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them.
Cheng, Tao, Huang, Hua-Lin, Yang, Yuping
core +3 more sources
Moduli of objects in dg-categories [PDF]
, 2006 To any dg-category $T$ (over some base ring $k$), we define a $D^{-}$-stack $\mathcal{M}_{T}$ in the sense of \cite{hagII}, classifying certain $T^{op}$-dg-modules.
Toen, B., Vaquie, M.
core +9 more sources
Homology of E_n Ring Spectra and Iterated THH
, 2010 We describe an iterable construction of THH for an E_n ring spectrum. The reduced version is an iterable bar construction and its n-th iterate gives a model for the shifted cotangent complex at the augmentation, representing reduced topological Quillen ...
Boardman +8 more
core +1 more source
On deformation theory of quantum vertex algebras [PDF]
, 2005 We study an algebraic deformation problem which captures the data of the general deformation problem for a quantum vertex algebra. We derive a system of coupled equations which is the counterpart of the Maurer-Cartan equation on the usual Hochschild ...
Grosse, Harald, Schlesinger, Karl-Georg
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Semiinfinite cohomology of quantum groups
, 1996 In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely ...
Arkhipov, Sergey
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Grothendieck–Verdier duality patterns in quantum algebra
, 2017 After a brief survey of the basic definitions of the Grothendieck--Verdier categories and dualities, I consider in this context introduced earlier dualities in the categories of quadratic algebras and operads, largely motivated by the theory of quantum ...
Manin, Y.
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