145 citations · 1.4k across the 82 of their papers we have counts for
82 papers
Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras
Mark D. Gould, Phillip S. Isaac, Jason L. Werry
We develop explicit formulae for the eigenvalues of various invariants for highest weight irreducible representations of the quantum supergroup . The techniques emplo…
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups
Romina M. Arroyo, Mark D. Gould, Artem Pulemotov
We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of…
Invariants and matrix elements of the quantum group revisited
Mark D. Gould, Phillip S. Isaac
In a previous paper the generator matrix elements and (dual) vector reduced Wigner coefficients (RWCs) were evaluated via the polynomial identities satisfied by a certain matrix co…
Reduced Wigner coefficients for Lie superalgebra gl(m|n) corresponding to unitary representations and beyond
Jason L. Werry, Phillip S. Isaac, Mark D. Gould
In this paper fundamental Wigner coefficients are determined algebraically by considering the eigenvalues of certain generalized Casimir invariants. Here this method is applied in…
Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n)
Jason L. Werry, Mark D. Gould, Phillip S. Isaac
The characteristic identity formalism discussed in our recent articles is further utilized to derive matrix elements of type 2 unitary irreducible modules. In particular,…
Uncertainty relation in Schwarzschild spacetime
Jun Feng, Yao-Zhong Zhang, Mark D. Gould +1
We explore the entropic uncertainty relation in the curved background outside a Schwarzschild black hole, and find that Hawking radiation introduces a nontrivial modification on th…