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Double BFV Quantisation of 3D Gravity. [PDF]

open access: yesCommun Math Phys
Canepa G, Schiavina M.
europepmc   +1 more source

Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]

open access: yesTransform Groups
Huang H   +5 more
europepmc   +1 more source
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Koszul Complexes and the Growth Rate of Quadratic Algebras

2018
For a quadratic algebra A, as in Section 6.1, let $$\begin{aligned} \xi _A =\xi = \sum _{i=1}^n x^i\otimes x_i \in A^!\circ A \subset A^!\otimes A\;. \end{aligned}$$
Y. Manin
openaire   +2 more sources

Koszul algebras and Donaldson–Thomas invariants

Letters in Mathematical Physics, 2021
We propose a new method for computing motivic Donaldson–Thomas invariants of a symmetric quiver which relies on Koszul duality between supercommutative algebras and Lie superalgebras and completely bypasses cohomological Hall algebras.
V. Dotsenko, E. Feigin, M. Reineke
semanticscholar   +1 more source

Koszul duality, minimal model and L∞-structure for differential algebras with weight

Advances in Mathematics, 2023
A differential algebra with weight is an abstraction of both the derivation (weight zero) and the forward and backward difference operators (weight $\pm 1$).
Jun Chen, Li Guo, Kai Wang, Guodong Zhou
semanticscholar   +1 more source

The Ext algebra and a new generalisation of D-Koszul algebras

, 2015
We generalise Koszul and D-Koszul algebras by introducing a class of graded algebras called (D,A)-stacked algebras. We give a characterisation of (D,A)-stacked algebras and show that their Ext algebra is finitely generated as an algebra in degrees 0, 1 ...
Joanne Leader, N. Snashall
semanticscholar   +1 more source

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