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Alexander Stolin
Professor Emeritus
Department of MathematicalAbout Alexander Stolin
Areas of research:
Yang-Baxter equation, quantum groups, algebraic aspects of integrable models, Hopf, Frobenius algebras, Picard and class groups
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Topological Lie Bialgebras, Manin Triples and Their Classification Over
g[[x]]
Raschid Abedin, Stepan Maximov, Alexander Stolin, Efim Zelmanov
COMMUNICATIONS IN MATHEMATICAL PHYSICS - 2024 -
Topological Manin pairs and (n, s)-type
series
R. Abedin, S. Maximov, Alexander Stolin
Letters in Mathematical Physics - 2023 -
Classification of Quantum Groups via Galois
Cohomology
E. Karolinsky, A. Pianzola, Alexander Stolin
Communications in Mathematical Physics - 2020 -
Belavin–Drinfeld solutions of the Yang–Baxter equation: Galois cohomology
considerations
Arturo Pianzola, Alexander Stolin
Bulletin of Mathematical Sciences - 2018 -
Simple vector bundles on a nodal Weierstrass cubic and quasi-trigonometric solutions of the classical Yang-Baxter
equation
Igor Burban, Lennart Galinat, Alexander Stolin
Journal of Physics A: Mathematical and Theoretical - 2017 -
Lie bialgebras, fields of cohomological dimension at most 2 and Hilbert's Seventeenth
Problem
Seidon Alsaody, Alexander Stolin
Journal of Algebra - 2017 -
Classification of quantum groups and Lie bialgebra structures on sl(n, F). Relations with Brauer
group
Alexander Stolin, Iulia Pop
Advances in Mathematics - 2016 -
Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie
algebras
Boris Kadets, Eugene Karolinsky, Iulia Pop, Alexander Stolin
Journal of Mathematical Physics - 2016 -
Classification of Quantum Groups and Belavin-Drinfeld
Cohomologies
B. Kadets, E. Karolinsky, Iulia Pop, Alexander Stolin
Communications in Mathematical Physics - 2016 -
Quantum Groups: From the Kulish–Reshetikhin Discovery to
Classification
B. Kadets, E. Karolinsky, Iulia Pop, Alexander Stolin
Journal of Mathematical Sciences (United States) - 2016 -
Quantum groups: from Kulish-Reshetikhin discovery to
classification
Boris Kadets, Eugene Karolinsky, Iulia Pop, Alexander Stolin
Zapiski Nauchnyh Seminarov POMI - 2015 -
Preface: Proceedings Algebra, Geometry and Mathematical Physics Conference, AGMP
2011
A Makhlouf, E Paal, S Silvestrov, Alexander Stolin
Algebra, Geometry and Mathematical Physics AGMP, Mulhouse, France, October 2011 123. (Springer Proceedings in Mathematics and Statistics) - 2014 -
Quantized Reduced Fusion Elements and Kostant’s
Problem
Alexander Stolin, Eugene Karolinsky, Vitaly Tarasov
Springer Proceedings in Mathematics and Statistics - 2014 -
On quantum groups and Lie bialgebras related to
sl(n)
Alexander Stolin, Iulia Pop
Journal of Physics Conference Series - 2014 -
3Quantum: Algebra, Geometry,
Information
Eugen Paal, P Kuusk, Alexander Stolin
Journal of Physics Conference Series - 2014 -
Belavin-Drinfeld cohomologies and introduction to classification of quantum
groups
Alexander Stolin, Iulia Pop
Journal of Physics, Conference Series - 2014 -
Deformed Richardson-Gaudin
model
Petr Kulish, Alexander Stolin, Henrik Johannesson
Journal of Physics, Conference Series - 2014 -
Equivariant quantization of Poisson homogeneous spaces and Kostant's
problem
E. Karolinsky, Alexander Stolin, V. Tarasov
Journal of Algebra - 2014 -
Quantum deformed Richardson-Gaudin
model
Henrik Johannesson, Alexander Stolin, Petr Kulish
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm - 2013 -
Algebra, Geometry, and Mathematical Physics
2010
Alexander Stolin, Viktor Abramov, Juergen Fuchs, Eugen Paal, Yuri Shestopalov, Sergei Silvestrov
2012 -
Poisson Structures Compatible with the Cluster Algebra Structure in
Grassmannians
M. Gekhtman, M. Shapiro, Alexander Stolin, A. Vainshtein
Letters in Mathematical Physics - 2012 -
Algebraic Bethe ansatz for deformed Gaudin
model
NC Antonio, N Manojlovic, Alexander Stolin
JOURNAL OF MATHEMATICAL PHYSICS - 2011 -
Classification of Lie bialgebras over current
algebras
F Montaner, Alexander Stolin, Efim Zelmanov
Selecta Mathematica, New Series - 2010 -
Bethe ansatz for the deformed Gaudin
model
Petr Kulish, Nenad Manojlovic, Maxim Samsonov, Alexander Stolin
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES - 2010 -
Generalized Lie Theory in Mathematics, Physics and Beyond,
Preface
V Abramov, E Paal, S Silvestrov, Alexander Stolin
Generalized Lie Theory in Mathematics, Physics and Beyond - 2009 -
Classification of quasi-trigonometric solutions of the Yang-Baxter
equation
Iulia Pop, Alexander Stolin
Contemporary Mathematics - 2009 -
25 Years of Quantum Groups: from Definition to
Classification
Alexander Stolin
Acta Polytechnica - 2008 -
Proceedings of the 3rd Baltic-Nordic Workshop
AGMF
Alexander Stolin, Viktor Abramov, Eugen Paal, Sergei Silvestrov
Journal of Generalized Lie Theory and Applications - 2008 -
Generalized Lie Theory in Mathematics, Physics, and
Beyond
Viktor Abramov, Eugen Paal, Sergei Silvestrov, Alexander Stolin
2008 -
Lagrangian Subalgebras and Quasi-trigonometric
r-matrices
Iulia Pop, Alexander Stolin
Letters in Mathematical Physics - 2008 -
On Some Lie Bialgebra Structures on Polynomial Lie algebras and their
Quantization
Sergey Khoroshkin, Iulia Pop, Maxim Samsonov, Alexander Stolin, Valery Tolstoy
Communications in Mathematical Physics - 2008 -
Irreducible highest weight modules and equivariant
quantization
E. Karolinsky, Alexander Stolin, V. Tarasov
ADVANCES IN MATHEMATICS - 2007 -
Rational solutions of CYBE for simple compact real Lie
algebras
Iulia Pop, Alexander Stolin
JOURNAL OF GEOMETRY AND PHYSICS - 2007 -
Spherical principal series of quantum Harish-Chandra
modules
Olga Bershtein, Leonid Vaksman, Alexander Stolin
Zh. Mat. Fiz. Anal. Geom. - 2007 -
Irreducible highest weight modules and equivariant
quantization.
Alexander Stolin
Advances in Mathematics - 2007 -
Differential calculi on some quantum prehomogeneous vector
spaces
Alexander Stolin, Sergey Sinel'shchikov, Leonid Vaksman
JOURNAL OF MATHEMATICAL PHYSICS - 2007 -
A quantum analogue of the Bernstein
functor.
Alexander Stolin
Journal of Lie Theory - 2007 -
Classical quasi-trigonometric r-matrices of Cremmer-Gervais type and their
quantization
Julia Yermolova-Magnusson, Maxim Samsonov, Alexander Stolin
Journal of Nonlinear Mathematical Physics - 2006 -
Classical quasi-trigonometric $r$-matrices of Cremmer-Gervais type and their
quantization
Alexander Stolin, Julia Yermolova-Magnusson
Journal of Nonlinear Mathematical Physics - 2006 -
The 4th
structure
Alexander Stolin, Julia Yermolova-Magnusson
Czechoslovak Journal of Physics - 2006 -
Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and
quantization
E. Karolinsky, K. Muzykin, Alexander Stolin, V. Tarasov
Letters in Mathematical Physics - 2005 -
From dynamical to non-dynamical
twists
E. Karolinsky, Alexander Stolin, V. Tarasov
Letters in Mathematical Physics - 2005 -
Noncommutative geometry and representation theory in mathematical physics. Papers from the Satellite Conference to the 4th European Congress of Mathematics held at Karlstad University, Karlstad, July 5--10,
2004.
Grigori Rozenblioum, Alexander Stolin, Youko Mickelson, Jurgen Fuchs, Anders Westerberg
2005 -
Rational solutions of CYBE for simple compact real Lie
algebras
Iulia Pop, Alexander Stolin
2005 -
Dynamical twists and
quantization
Alexander Stolin
Contemporary Mathematics - 2005 -
Dynamical Yang-Baxter equation and quantization of certain Poisson
brackets.
Alexander Stolin
Contemporary Mathematics - 2005 -
Classical dynamical Yang-Baxter equations and quasi-Poisson homogeneous
spaces
Alexander Stolin
Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos. - 2004 -
Fine structure of class groups Cl^(p) Q(zeta_n) and the Kervaire-Murthy conjectures
II
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Fine structure of class groups Cl^(p) Q(zeta_n) and the Kervaire-Murthy
conjectures
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Picard groups of integer group rings and units in cyclotomic
fields
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Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian
subalgebras
Eugene Karolinsky, Alexander Stolin
2001 -
Unit bases in integer group rings and the Kervaire-Murthy
conjectures
-
An approach to Hopf algebras via Frobenius coordinates
II
Lars Kadison, Alexander Stolin
2001 -
On the Kervaire-Murthy
conjectures
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Q-power function over Q-commuting variables and deformed XXX, XXZ
chains
Sergey Khoroshkin, Alexander Stolin, Valery Tolstoy
2000 -
Chains of Frobenius subalgebras of $so(M)$ and the corresponding
twists
Vladimir D. Lyakhovsky, Alexander Stolin, Petr P. Kulish
2000 -
Frobenius systems and Hopf Algebras over
rings
Lars Kadison, Alexander Stolin
1999 -
Nakayama automorphisms of finite projective Hopf
Algebras
Lars Kadison, Alexander Stolin
1999 -
Separability and Hopf
algebras
Lars Kadison, Alexander Stolin
1999 -
On Hopf-Frobenius
algebras
Lars Kadison, Alexander Stolin
1998 -
Some remarks on Lie bialgebra structures on simple complex Lie
Algebras
Alexander Stolin
1998 -
Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie
algebras
Alexander Stolin
1997 -
On the Picard group of the integer group ring of the cyclic $P$-group and certain Galois
groups
Alexander Stolin
1997