Geodesic

Differential geometry, Lie groups and mechanics. Part 10

Sommaire

Hooks formula and related identities
p. 3-20
A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)
p. 21-40
Connections on Lagrangian submanifolds and some problems of the quasiclassical approximation.~I
p. 41-54
Combinatorial examples in the theory of $AF$-algebras
p. 55-67
The invariants algebra for the action of $Sp(2m)$ in $\bigotimes\limits^\infty M_{2m}\mathbb{C}$
p. 68-77
Lagrange identity and the hooks formula
p. 78-87
Infinite series of Lie algebras and boundary conditions for integrable systems
p. 88-98
On complete integrability of the $O(3)$-field in the class of rapidly decreasing functions
p. 99-104
Integrals of motion of the Euler equations of multi-dimensional hydrodynamics and superconductivity
p. 105-113
Irreducible unitary representations of the groups $U(p,q)$ admitting the limit $q\to\infty$
p. 114-120
Representations of $*$-algebras with two generators and polynomial relations
p. 121-129
On the solutions of the classical triangle equation related to the Landau--Lifschitz equation for non-homogeneous magnetics
p. 130-136
Tensor invariants of the Lie algebra $sl_2(\mathbb{C}[t])$ and fundamental representation of the Lie algebra $\widehat{sp}_{2m}$
p. 137-144
Canonical fields in the quantum sh-Gordon model
p. 145-159
On representations with maximal dimension of symmetric groups
p. 160-166