Jean-Yves Thibon

Canonical bases of q-deformed Fock spaces

We define a canonical basis of the

Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

q

HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND TENSOR PRODUCTS OF SYMMETRIC GROUP REPRESENTATIONS

-deformed Fock space representation of the affine Lie algebra

NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF Uq(glN)

glchap_n

Green Polynomials and Hall-Littlewood Functions at Roots of Unity

. We conjecture that the entries of the transition matrix between this basis and the natural basis of the Fock space are

Plethysm and vertex operators

q

SIMPLE ORDERINGS FOR FREE PARTIALLY COMMUTATIVE GROUPS

-analogues of decomposition numbers of the

Geometric descriptions of entangled states by auxiliary varieties

v

Entanglement of four qubit systems: A geometric atlas with polynomial compass I (the finite world)

-Schur algebras for

Polynomial realizations of some combinatorial Hopf algebras

v