Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Feigin, Misha"'
The Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a symmetry of the WDVV equations, introduced by Dubrovin.
Externí odkaz:
http://arxiv.org/abs/2407.20349
Originally motivated by connections to integrable systems, two natural subalgebras of the rational Cherednik algebra have been considered in the literature. The first is the subalgebra generated by all degree zero elements and the second is the Dunkl
Externí odkaz:
http://arxiv.org/abs/2312.13957
Autor:
Feigin, Misha, Vrabec, Martin
Inside the double affine Hecke algebra of type $GL_n$, which depends on two parameters $q$ and $\tau$, we define a subalgebra $\mathbb{H}^{\mathfrak{gl}_n}$ that may be thought of as a $q$-analogue of the degree zero part of the corresponding rationa
Externí odkaz:
http://arxiv.org/abs/2311.07543
Orbit spaces of the reflection representation of finite irreducible Coxeter groups provide polynomial Frobenius manifolds. Flat coordinates of the Frobenius metric $\eta$ are Saito polynomials which are distinguished basic invariants of the Coxeter g
Externí odkaz:
http://arxiv.org/abs/2309.01577
The construction of an explicit basis for a free multiarrangement is not easy in general. Inspired by the integral expressions for quasi-invariants of quantum Calogero-Moser systems, we present integral expressions for specific bases of certain multi
Externí odkaz:
http://arxiv.org/abs/2309.01287
Autor:
Alkadhem, Maali, Feigin, Misha
We consider commutativity equations $F_i F_j =F_j F_i$ for a function $F(x^1, \dots, x^N),$ where $F_i$ is a matrix of the third order derivatives $F_{ikl}$. We show that under certain non-degeneracy conditions a solution $F$ satisfies the WDVV equat
Externí odkaz:
http://arxiv.org/abs/2210.03111
Autor:
Feigin, Misha, Vrabec, Martin
We consider the generalised Calogero-Moser-Sutherland quantum integrable system associated to the configuration of vectors $AG_2$, which is a union of the root systems $A_2$ and $G_2$. We establish the existence of and construct a suitably defined Ba
Externí odkaz:
http://arxiv.org/abs/2204.03677
To a complex reflection arrangement with an invariant multiplicity function one can relate the space of logarithmic vector fields and the space of quasi-invariants, which are both modules over invariant polynomials. We establish a close relation betw
Externí odkaz:
http://arxiv.org/abs/2112.06738
Publikováno v:
In Journal of Geometry and Physics June 2024 200
Autor:
Alkadhem, Maali, Feigin, Misha
We consider a class of trigonometric solutions of WDVV equations determined by collections of vectors with multiplicities. We show that such solutions can be restricted to special subspaces to produce new solutions of the same type. We find new solut
Externí odkaz:
http://arxiv.org/abs/2009.11682