Results 41 to 50 of about 20,221 (160)
Invariants and Coinvariants of the Symmetric Group in Noncommuting Variables
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions which was recently studied as a vector space by Rosas and Sagan. The bases for this algebra are indexed by set partitions. We show that there exist a natural
Bergman +13 more
core +2 more sources
Noncommutative Bessel symmetric functions
The consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.
Novelli, Jean-Christophe +1 more
openaire +2 more sources
Antipode formulas for some combinatorial Hopf algebras
Motivated by work of Buch on set-valued tableaux in relation to the K-theory of the Grassmannian, Lam and Pylyavskyy studied six combinatorial Hopf algebras that can be thought of as K-theoretic analogues of the Hopf algebras of symmetric functions ...
Patrias, Rebecca
core +1 more source
Symmetric Functions, Noncommutative Symmetric Functions And Quasisymmetric Functions II
This is part two of this survey; to appear in Acta. Appl. Math. The first part appeared in Acta Appl. Math 75 (2003), 55-93 and is also 'arXived'.
openaire +4 more sources
Odd Jacobi Manifolds and Loday-Poisson Brackets
We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
doaj +1 more source
Smoothed one-core and core–multi-shell regular black holes
We discuss the generic properties of a general, smoothly varying, spherically symmetric mass distribution $$\mathcal {D}(r,\theta )$$ D(r,θ) , with no cosmological term ($$\theta $$ θ is a length scale parameter).
Mustapha Azreg-Aïnou
doaj +1 more source
Invariants and coinvariants of the symmetric group in noncommuting variables [PDF]
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra are indexed by set partitions.
Bergeron, Nantel +3 more
core +1 more source
String Geometry and the Noncommutative Torus [PDF]
We construct a new gauge theory on a pair of d-dimensional noncommutative tori. The latter comes from an intimate relationship between the noncommutative geometry associated with a lattice vertex operator algebra A and the noncommutative torus.
Landi, G., Lizzi, F., Szabo, R. J.
core +4 more sources
UV/IR mixing and the Goldstone theorem in noncommutative field theory [PDF]
Noncommutative IR singularities and UV/IR mixing in relation with the Goldstone theorem for complex scalar field theory are investigated. The classical model has two coupling constants, $\lambda_1$ and $\lambda_2$, associated to the two noncommutative ...
Alvarez-Gaumé +37 more
core +4 more sources
Quantum Frustration as a Protection Mechanism in Non‐Topological Majorana Qubits
Quantum frustration is proposed as a robust protection mechanism for non‐topological ‐junction qubit. By leveraging distinct spatial profiles, co‐located Majorana modes couple to independent environments, creating incompatible pointer bases that suppress decoherence.
E. Novais
wiley +1 more source

