A. Stolin

发表

Topological Manin triples and Lie bialgebra structures on current algebras

E. Zelmanov, S. Maximov, A. Stolin, 2022, 2203.01105.

Generalized Lie Theory In Mathematics, Physics And Beyond

S. Silvestrov, V. Abramov, E. Paal, 2009 .

Classical Limit of the Scaled Elliptic Algebra $A_{\hbar,\eta}(sl_2)$

S. Khoroshkin, S. Pakuliak, D. Lebedev, 1997, q-alg/9703043.

Fine structure of class groups Cl^(p) Q(zeta_n) and the Kervaire-Murthy conjectures II

A. Stolin, O. Helenius, 2002, math/0209066.

Fine Structure of Class Groups of Prime Power Cyclotomic Fields and the Kervaire-Murthy Conjectures

A. Stolin, O. Helenius, 2002, math/0207286.

Rational solutions of CYBE for simple compact real Lie algebras

A. Stolin, I. Pop, 2007 .

Deformation of Yangian Y(sl(2))

A. Stolin, V. Tolstoy, S. Khoroshkin, 1995, q-alg/9511005.

GENERALIZED GAUSS DECOMPOSITION OF TRIGONOMETRIC R-MATRICES

S. Khoroshkin, A. Stolin, V. Tolstoy, 1994, hep-th/9404038.

An approach to Hopf algebras via Frobenius coordinates II

A. Stolin, L. Kadison, 2001, math/0103019.

On Antipodes and Integrals in Hopf Algebras over Rings and the Quantum Yang-Baxter Equation

Y. Fong, K. Beidar, A. Stolin, 1997 .

On Frobenius algebras and the quantum Yang-Baxter equation

Y. Fong, K. Beidar, A. Stolin, 1997 .

Classification of Quantum Groups via Galois Cohomology

A. Pianzola, A. Stolin, E. Karolinsky, 2019, Communications in Mathematical Physics.

Noncommutative Geometry and Representation Theory in Mathematical Physics

J. Mickelsson, J. Fuchs, A. Westerberg, 2005 .

Classification of Quantum Groups and Belavin–Drinfeld Cohomologies

Boris Kadets, A. Stolin, I. Pop, 2016, Communications in Mathematical Physics.

Belavin-Drinfeld cohomologies and introduction to classification of quantum groups

A. Stolin, I. Pop, 2014 .

Quantized Reduced Fusion Elements and Kostant’s Problem

V. Tarasov, A. Stolin, E. Karolinsky, 2014 .

Classification of Quantum Groups and Belavin–Drinfeld Cohomologies

Boris Kadets, A. Stolin, I. Pop, 2013, 1303.4046.

Equivariant quantization of Poisson homogeneous spaces and Kostant's problem

V. Tarasov, A. Stolin, E. Karolinsky, 2009, 0908.0349.

On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization

A. Stolin, V. Tolstoy, S. Khoroshkin, 2007, 0706.1651.

Classical Dynamical R -MATRICES and Poisson Homogeneous Spaces

A. Stolin, E. Karolinsky, 2002 .

Classical Dynamical r-Matrices, Poisson Homogeneous Spaces, and Lagrangian Subalgebras

A. Stolin, E. Karolinsky, 2001, math/0110319.

Some remarks on Lie bialgebra structures on simple complex Lie algebras

A. Stolin, 1999 .

New rational solutions of Yang-Baxter equation and deformed Yangians

P. Kulish, A. Stolin, 1996, q-alg/9608011.

Deformed Richardson-Gaudin model

P. Kulish, A. Stolin, L. Johannesson, 2014, 1402.4838.

Quantum deformed Richardson-Gaudin model

P. Kulish, H. Johannesson, A. Stolin, 2013 .

Dynamical Yang-Baxter equation and quantization of certain Poisson brackets.

A. Stolin, 2005 .

Algebraic Bethe ansatz for deformed Gaudin model

N. Manojlović, A. Stolin, N. Cirilo-Antonio, 2010, 1002.4951.

Rational Solutions of Yang-Baxter Equation and Deformation of Yangians

A. Stolin, V. Tolstoy, S. Khoroshkin, 1996 .

Differential calculi on some quantum prehomogeneous vector spaces

A. Stolin, S. Sinel'shchikov, L. Vaksman, 2006, math/0606499.

25 Years of Quantum Groups: from Definition to Classification

A. Stolin, 2008 .

Dynamical twists and quantization

A. Stolin, 2005 .

Classical Dynamical Yang-Baxter Equations and Quasi-Poisson Homogeneous Spaces

A. Stolin, 2004 .

Irreducible highest weight modules and equivariant quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2005, math/0507348.

Q A ] 1 7 Ju l 2 00 5 Irreducible highest-weight modules and equivariant quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2005 .

Dynamical Yang–Baxter Equations, Quasi-Poisson Homogeneous Spaces, and Quantization

V. Tarasov, A. Stolin, E. Karolinsky, 2003, math/0309203.

Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang–Baxter equation

A. Stolin, I. Burban, Lennart Galinat, 2017, 1704.07202.

Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie algebras

A. Stolin, 1999 .

A Nonintegrable Sub-Riemannian Geodesic Flow on a Carnot Group

R. Montgomery, M. Shapiro, A. Stolin, 1997 .

Deformed yangians and integrable models

P. Kulish, A. Stolin, 1997, q-alg/9708024.

Topological Lie bialgebra structures and their classification over $ \mathfrak{g}[\![x]\!] $

E. Zelmanov, S. Maximov, A. Stolin, 2022, 2203.01105.

Classification of Lie bialgebras over current algebras

E. Zelmanov, A. Stolin, F. Montaner, 2010, 1001.4824.

Lagrangian Subalgebras and Quasi-trigonometric r-Matrices

A. Stolin, I. Pop, 2008 .

The 4th structure

A. Stolin, J. Yermolova-Magnusson, 2006 .

On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra

A. Stolin, 1991 .

Classification of quasi-trigonometric solutions of the classical Yang-Baxter equation

A. Stolin, I. Pop, 2008, 0806.2053.

On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.

A. Stolin, 1991 .

Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of CYBE

A. Stolin, I. Burban, Lennart Galinat, 2017 .

Chains of Frobenius subalgebras of so(M) and the corresponding twists

V. Lyakhovsky, P. Kulish, A. Stolin, 2000, math/0010147.

Orbits of the coadjoint representation and Yang-Baxter equation

A. Stolin, M. Gekhtman, 1996 .

Vandiver's Conjecture via K-theory

A. Stolin, 2020, 2001.09702.

On Kervaire--Murthy conjecture, Bernoulli and Iwasawa numbers

A. Stolin, 2010, 1003.1871.

Fine Structure of Class Groups Cl (p) Q ( N ) and the Kervaire-murthy Conjectures

A. Stolin, 2002 .

Belavin–Drinfeld solutions of the Yang–Baxter equation: Galois cohomology considerations

A. Pianzola, A. Stolin, 2018 .

Belavin-Drinfeld quantum groups and Lie bialgebras: Galois cohomology considerations

A. Pianzola, A. Stolin, 2016, 1605.09708.

Classification of quantum groups and Lie bialgebra structures on $sl(n,\mathbb{F})$. Relations with Brauer group

A. Stolin, I. Pop, 2014, 1402.3083.

On classification of quantum groups and Belavin-Drinfeld twisted cohomologies

A. Stolin, I. Pop, 2013, 1309.7133.

Construction of a Universal Twist Element from an R-Matrix

E. Damaskinsky, P. Kulish, A. Stolin, 2003 .

NAKAYAMA AUTOMORPHISMS OF FINITE PROJECTIVEHOPF ALGEBRASLARS KADISON AND

A. Stolin, 1999 .

An Approach to Hopf Algebras via Frobenius Coordinates

A. Stolin, L. Kadison, A. A. STOLINAbstract, 1999 .

q-power function over q-commuting variables and deformed XXX and XXZ chains

A. Stolin, V. Tolstoy, S. Khoroshkin, 2001 .

Q A ] 2 0 D ec 2 00 0 ITEP-TH-62 / 00 q-Power function over q-commuting variables and deformed XXX , XXZ chains

S. Khoroshkin, A. Stolin, V. Tolstoy, 2000 .

Classical Limit of the Scaled Elliptic Algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ )

S. Khoroshkin, A. Stolin, D. Lebede, 1999, Compositio Mathematica.

A Quantum Analogue of the Bernstein Functor

A. Stolin, S. Sinel'shchikov, L. Vaksman, 2004, math/0410463.

Non-compact quantum groups and quantum Harish-Chandra modules

A. Stolin, S. Sinel'shchikov, L. Vaksman, 2001 .

Q A ] 3 A ug 2 00 5 A QUANTUM ANALOGUE OF THE BERNSTEIN FUNCTOR

A. Stolin, S. Sinel'shchikov, L. Vaksman, 2005 .

Classification of Quantum Groups via Galois Cohomology

A. Pianzola, A. Stolin, E. Karolinsky, 2018, Communications in Mathematical Physics.

Separability and Hopf algebras

A. Stolin, L. Kadison, 1999 .

On a Conjecture of Kontsevich and Variants of Castelnuovo's Lemma

S. Khoroshkin, S. Pakuliak, D. Lebedev, 1999, Compositio Mathematica.