Add to ORKGFor any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants, study their properties and discuss examples. These invariants naturally appear in the framework of the bi-Hamiltonian approach to integrable systems on Lie algebras and are closely related to Mischenko-Fomenko's argument shift method
We present a construction which associates an infinite sequence of Kac–Moody algebras, labeled by a ...
This thesis is dedicated to the Tits-Kantor-Koecher (TKK) construction which establishes a bijective...
Abstract. We present a Lie algebra theoretical schema leading to integrable systems, based on the Ko...
For any finite-dimensional Lie algebra we introduce the notion of Jordan–Kronecker invariants, study...
For any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants and di...
For an arbitrary representation ρ of a complex finite-dimensional Lie algebra, we construct a collec...
This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions fo...
We show that the Kronecker canonical form (which is a canonical decomposition for pairs of matrices)...
This article suggests a series of problems related to various algebraic and geometric aspects of int...
This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the g...
AbstractWe give a criterion of (micro-)kroneckerity of the linear Poisson pencil on g∗ related to an...
AbstractWe consider some classification problems of Linear Algebra related closely to the classical ...
We introduce and discuss a connection between representations of a certain class of graded Lie algeb...
We calculate Jordan--Kronecker invariants for semi-direct sums of Lie algebras $so(n)$ and $sp(n)$wi...
This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, ...
We present a construction which associates an infinite sequence of Kac–Moody algebras, labeled by a ...
This thesis is dedicated to the Tits-Kantor-Koecher (TKK) construction which establishes a bijective...
Abstract. We present a Lie algebra theoretical schema leading to integrable systems, based on the Ko...
For any finite-dimensional Lie algebra we introduce the notion of Jordan–Kronecker invariants, study...
For any finite-dimensional Lie algebra we introduce the notion of Jordan-Kronecker invariants and di...
For an arbitrary representation ρ of a complex finite-dimensional Lie algebra, we construct a collec...
This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions fo...
We show that the Kronecker canonical form (which is a canonical decomposition for pairs of matrices)...
This article suggests a series of problems related to various algebraic and geometric aspects of int...
This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the g...
AbstractWe give a criterion of (micro-)kroneckerity of the linear Poisson pencil on g∗ related to an...
AbstractWe consider some classification problems of Linear Algebra related closely to the classical ...
We introduce and discuss a connection between representations of a certain class of graded Lie algeb...
We calculate Jordan--Kronecker invariants for semi-direct sums of Lie algebras $so(n)$ and $sp(n)$wi...
This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, ...
We present a construction which associates an infinite sequence of Kac–Moody algebras, labeled by a ...
This thesis is dedicated to the Tits-Kantor-Koecher (TKK) construction which establishes a bijective...
Abstract. We present a Lie algebra theoretical schema leading to integrable systems, based on the Ko...