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1993

Journal Article

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

Links, JR, Gould, MD and Zhang, RB (1993). Quantum Supergroups, Link Polynomials and Representation of the Braid Generator. Reviews in Mathematical Physics, 5 (2), 345-361. doi: 10.1142/S0129055X93000097

Quantum Supergroups, Link Polynomials and Representation of the Braid Generator

1993

Journal Article

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions

Gould, MD and Battle, JS (1993). Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions. Journal of Chemical Physics, 98 (11), 8843-8851. doi: 10.1063/1.464494

Spin-Dependent Unitary-Group Approach to the Pauli-Breit Hamiltonian .1. 1St-Order Energy-Level Shifts Due to Spin-Orbit Interactions

1993

Journal Article

Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]

Bracken, AJ, Gould, MD and Tsohantjis, I (1993). Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]. Journal of Mathematical Physics, 34 (5), 1654-1664. doi: 10.1063/1.530182

Boson-Fermion Models for Osp(1,2) and Uq[Osp(1,2)]

1993

Journal Article

Raising and lowering operators for Uq(gl(n))

Links, J. and Gould, M. D. (1993). Raising and lowering operators for Uq(gl(n)). Journal of Mathematical Physics, 34 (4), 1577-1586. doi: 10.1063/1.530175

Raising and lowering operators for Uq(gl(n))

1993

Journal Article

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

Links, JR, Gould, MD and Tsohantjis, I (1993). Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]. Letters in Mathematical Physics, 27 (1), 51-58. doi: 10.1007/BF00739589

Baxterization of the R-Matrix for the Adjoint Representation of Uq[D(2, 1-Alpha)]

1993

Journal Article

Formulas for the Spin-Dependent Unitary-Group Approach

Battle, JS and Gould, MD (1993). Formulas for the Spin-Dependent Unitary-Group Approach. Chemical Physics Letters, 201 (1-4), 284-293. doi: 10.1016/0009-2614(93)85072-V

Formulas for the Spin-Dependent Unitary-Group Approach

1992

Journal Article

2 Variable Link Polynomials From Quantum Supergroups

Links, JR and Gould, MD (1992). 2 Variable Link Polynomials From Quantum Supergroups. Letters in Mathematical Physics, 26 (3), 187-198. doi: 10.1007/BF00420752

2 Variable Link Polynomials From Quantum Supergroups

1992

Journal Article

The pattern calculus for tensor operators in quantum groups

Gould, Mark and Biedenharn, L. C. (1992). The pattern calculus for tensor operators in quantum groups. Journal of Mathematical Physics, 33 (11), 3613-3635. doi: 10.1063/1.529909

The pattern calculus for tensor operators in quantum groups

1992

Journal Article

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2)

Burton, PJ and Gould, MD (1992). A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2). Journal of Chemical Physics, 96 (7), 5261-5271. doi: 10.1063/1.462711

A Unitary-Group Formulation of the Complete Active Space Configuration-Interaction Method .2. An Approach Based On the Subgroup Chain U(N=N0+N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1+N2)Superset-of-or-Equal-to-U(N0)Xu(N1)Xu(N2)

1992

Journal Article

Matrix elements and Wigner coefficients for Uq[gl(n)]

Gould, M. D., Links, J. and Bracken, A. J. (1992). Matrix elements and Wigner coefficients for Uq[gl(n)]. Journal of Mathematical Physics, 33 (3), 1008-1022. doi: 10.1063/1.529986

Matrix elements and Wigner coefficients for Uq[gl(n)]

1992

Journal Article

Reduced Wigner Coefficients for Uq(Gl(N))

Gould, MD (1992). Reduced Wigner Coefficients for Uq(Gl(N)). Journal of Mathematical Physics, 33 (3), 1023-1031. doi: 10.1063/1.529764

Reduced Wigner Coefficients for Uq(Gl(N))

1992

Journal Article

Quantum Groups and Diagonalization of the Braid Generator

Gould, MD (1992). Quantum Groups and Diagonalization of the Braid Generator. Letters in Mathematical Physics, 24 (3), 183-196. doi: 10.1007/BF00402893

Quantum Groups and Diagonalization of the Braid Generator

1992

Journal Article

Casimir invariants for Hopf algebras

Links, J. R. and Gould, M. D. (1992). Casimir invariants for Hopf algebras. Reports on Mathematical Physics, 31 (1), 91-111. doi: 10.1016/0034-4877(92)90007-N

Casimir invariants for Hopf algebras

1991

Journal Article

Universal-R Matrices and Invariants of Quantum Supergroups

Zhang, RB and Gould, MD (1991). Universal-R Matrices and Invariants of Quantum Supergroups. Journal of Mathematical Physics, 32 (12), 3261-3267. doi: 10.1063/1.529487

Universal-R Matrices and Invariants of Quantum Supergroups

1991

Journal Article

Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups

Gould, MD, Zhang, RB and Bracken, AJ (1991). Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups. Journal of Mathematical Physics, 32 (9), 2298-2303. doi: 10.1063/1.529152

Generalized Gelfand Invariants and Characteristic Identities for Quantum Groups

1991

Journal Article

Characteristic Identities for Kac-Moody Algebras

Gould, MD and Jarvis, PD (1991). Characteristic Identities for Kac-Moody Algebras. Letters in Mathematical Physics, 22 (2), 91-100. doi: 10.1007/BF00405172

Characteristic Identities for Kac-Moody Algebras

1991

Journal Article

From Representations of the Braid Group to Solutions of the Yang-Baxter Equation

Zhang, RB, Gould, MD and Bracken, AJ (1991). From Representations of the Braid Group to Solutions of the Yang-Baxter Equation. Nuclear Physics B, 354 (2-3), 625-652. doi: 10.1016/0550-3213(91)90369-9

From Representations of the Braid Group to Solutions of the Yang-Baxter Equation

1991

Journal Article

A Q-Analog of Bargmann Space and its Scalar Product

Bracken, AJ, McAnally, DS, Zhang, RB and Gould, MD (1991). A Q-Analog of Bargmann Space and its Scalar Product. Journal of Physics A-Mathematical and General, 24 (7) 015, 1379-1391. doi: 10.1088/0305-4470/24/7/015

A Q-Analog of Bargmann Space and its Scalar Product

1991

Journal Article

Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models

Zhang, RB, Gould, MD and Bracken, AJ (1991). Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models. Journal of Physics A-Mathematical and General, 24 (6), 1185-1197. doi: 10.1088/0305-4470/24/6/012

Solutions of the Graded Classical Yang-Baxter Equation and Integrable Models

1991

Journal Article

Generalized Gelfand Invariants of Quantum Groups

Zhang, RB, Gould, MD and Bracken, AJ (1991). Generalized Gelfand Invariants of Quantum Groups. Journal of Physics A-Mathematical and General, 24 (5) 009, 937-943. doi: 10.1088/0305-4470/24/5/009

Generalized Gelfand Invariants of Quantum Groups