Zobrazeno 1 - 10
of 411
pro vyhledávání: '"De Sole P"'
We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and constructions of the work of Tamarkin [Tam02]
Comment: 40 pages
Comment: 40 pages
Externí odkaz:
http://arxiv.org/abs/2407.05725
We introduce a class of quantum Markov semigroups describing the evolution of interacting quantum lattice systems, specified either as generic qudits or as fermions. The corresponding generators, which include both conservative and dissipative evolut
Externí odkaz:
http://arxiv.org/abs/2402.15488
We discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical W-algebras and apply it to construct a large class of integrable Hami
Externí odkaz:
http://arxiv.org/abs/2306.09709
The theory of triples of Poisson brackets and related integrable systems, based on a classical R-matrix R in End_F(g), where g is a finite dimensional associative algebra over a field F viewed as a Lie algebra, was developed by Oevel-Ragnisco and Li-
Externí odkaz:
http://arxiv.org/abs/2208.00154
Publikováno v:
Journal of Functional Analysis, 286, Issue 7 (2024)
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral decomposition of the Lindblad generator. We then apply this criterion to
Externí odkaz:
http://arxiv.org/abs/2206.11923
We define a Lax operator as a monic pseudodifferential operator $L(\partial)$ of order $N\geq 1$, such that the Lax equations $\dfrac{\partial L(\partial)}{\partial t_k}=[(L^{\frac kN}(\partial))_+,L(\partial)]$ are consistent and non-zero for infini
Externí odkaz:
http://arxiv.org/abs/2107.07280
Publikováno v:
Jpn. J. Math. 16, 203-246 (2021)
We prove that, for a Poisson vertex algebra V, the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that V, viewed as a differential algebra, is an algebra of differential pol
Externí odkaz:
http://arxiv.org/abs/2101.10939
We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such equivalence class one can construct the corresponding integrable hierarchy of bi-Hamiltonian PDE. The
Externí odkaz:
http://arxiv.org/abs/2012.12913
We prove that all classical affine W-algebras W(g,f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G_2, one in F_4,
Externí odkaz:
http://arxiv.org/abs/2007.01244
We review cohomology theories corresponding to the chiral and classical operads. The first one is the cohomology theory of vertex algebras, while the second one is the classical cohomology of Poisson vertex algebras (PVA), and we construct a spectral
Externí odkaz:
http://arxiv.org/abs/2002.03612