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2014 Journal Article On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin systemLukyanenko, Inna, Isaac, Phillip S. and Links, Jon (2014). On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system. Nuclear Physics B, 886, 364-398. doi: 10.1016/j.nuclphysb.2014.06.018 |
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2014 Journal Article On realizations of polynomial algebras with three generators via deformed oscillator algebrasIsaac, Phillip S. and Marquette, Ian (2014). On realizations of polynomial algebras with three generators via deformed oscillator algebras. Journal of Physics A: Mathematical and Theoretical, 47 (20) 205203, 1-26. doi: 10.1088/1751-8113/47/20/205203 |
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2014 Journal Article Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n)Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2014). Matrix elements for type 1 unitary irreducible representations of the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 55 (011703) 011703, 011703.1-011703.32. doi: 10.1063/1.4861706 |
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2013 Journal Article Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n)Gould, Mark D., Isaac, Phillip S. and Werry, Jason L. (2013). Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n). Journal of Mathematical Physics, 54 (1) 013505, 013505. doi: 10.1063/1.4773573 |
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2013 Conference Publication Exactly solvable BCS-BEC crossover HamiltoniansBirrell, A., Isaac, P. S. and Links, J. (2013). Exactly solvable BCS-BEC crossover Hamiltonians. The XXIX International Colloquium on Group-Theoretical Methods in Physics, Tianjin, China, 20-26 August 2012. Hackensack, NJ, United States: World Scientific. doi: 10.1142/9789814518550_0018 |
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2012 Journal Article Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extensionAizawa, Naruhiko, Isaac, Phillip S. and Kimura, Yuta (2012). Highest weight representations and Kac determinants for a class of conformal galilei algebras with central extension. International Journal of Mathematics, 23 (11) 1250118, 1250118.1-1250118.25. doi: 10.1142/S0129167X12501182 |
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2012 Journal Article A variational approach for the quantum inverse scattering methodAndrew Birrell, Isaac, Phillip and Links, Jon R. (2012). A variational approach for the quantum inverse scattering method. Inverse Problems, 28 (3) 035008, 035008.1-035008.15. doi: 10.1088/0266-5611/28/3/035008 |
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2011 Journal Article BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairsDunning, Clare, Isaac, Phillip S., Links, Jon and Zhao, Shao-You (2011). BEC-BCS crossover in a (p + ip)-wave pairing Hamiltonian coupled to bosonic molecular pairs. Nuclear Physics B, 848 (2), 372-397. doi: 10.1016/j.nuclphysb.2011.03.001 |
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2011 Journal Article Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebrasFinch, P. E., Dancer, K. A., Isaac, P. S. and Links, J. (2011). Solutions of the Yang-Baxter equation: Descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras. Nuclear Physics Section B, 847 (2), 387-412. doi: 10.1016/j.nuclphysb.2011.01.034 |
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2011 Journal Article On irreducible representations of the exotic conformal Galilei algebraAizawa, N and Isaac, PS (2011). On irreducible representations of the exotic conformal Galilei algebra. Journal of Physics A-Mathematical and Theoretical, 44 (3) 035401, 1-8. doi: 10.1088/1751-8113/44/3/035401 |
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2010 Journal Article Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetryCampbell, C. W., Dancer, K. A., Isaac, P. S. and Links, J. (2010). Bethe ansatz solution of an integrable, non-Abelian anyon chain with D(D-3) symmetry. Nuclear Physics, Section B, 836 (3), 171-185. doi: 10.1016/j.nuclphysb.2010.04.014 |
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2009 Journal Article Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetryDancer, K. A., Finch, P. E., Isaac, P. S. and Links, J. (2009). Integrable boundary conditions for a non-Abelian anyon chain with D(D3) symmetry. Nuclear Physics B, 812 (3), 456-469. doi: 10.1016/j.nuclphysb.2008.12.002 |
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2009 Journal Article Assessment of an innovative system of lecture notes in first-year mathematicsTonkes, E. J., Isaac, P. S. and Scharaschkin, V. (2009). Assessment of an innovative system of lecture notes in first-year mathematics. International Journal of Mathematical Education in Science and Technology, 40 (4), 495-504. doi: 10.1080/00207390902759592 |
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2009 Conference Publication Introducing a group research project into a second-level mathematics courseWorsley, Susan, Bracken, Anthony, Hibberd, Katrina and Isaac, Phillip (2009). Introducing a group research project into a second-level mathematics course. UniServe Science Conference 2009, Sydney, NSW, Australia, 30 September - 2 October 2009. Sydney, NSW, Australia: UniServe Science. |
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2007 Journal Article Universal Baxterization for Z-graded Hopf algebrasDancer, K. A., Finch, P. E. and Isaac, P. S. (2007). Universal Baxterization for Z-graded Hopf algebras. Journal of Physics A: Mathematical and Theoretical, 40 (50), F1069-F1075. doi: 10.1088/1751-8113/40/50/F01 |
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2007 Journal Article An algebraic approach to symmetric pre-monoidal statisticsIsaac, P. S., Joyce, W. P. and Links, J. (2007). An algebraic approach to symmetric pre-monoidal statistics. Journal of Algebra and Its Applications, 6 (1), 49-69. doi: 10.1142/S0219498807002065 |
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2006 Journal Article Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equationDancer, K. A., Isaac, P. S. and Links, J. (2006). Representations of the quantum doubles of finite group algebras and spectral parameter dependent solutions of the Yang–Baxter equation. Journal of Mathematical Physics, 47 (10) 103511, 103511-1-103511-18. doi: 10.1063/1.2359575 |
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2005 Conference Publication Ribbon structure in symmetric pre-monoidal categoriesWagner, L., Links, J. and Isaac, P. (2005). Ribbon structure in symmetric pre-monoidal categories. XXV International Colloquium on Group Theoretical Methods in, Cocoyoc, Mexico, 2-6 August, 2004. Bristol, U.K.: Institute of Physics Publishing. |
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2003 Journal Article Weak Hopf algebras corresponding to U-q[sl(n)]Aizawa, N and Isaac, PS (2003). Weak Hopf algebras corresponding to U-q[sl(n)]. Journal of Mathematical Physics, 44 (11), 5250-5267. doi: 10.1063/1.1616999 |
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2001 Journal Article On Quasi-Hopf SuperalgebrasGould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2001). On Quasi-Hopf Superalgebras. Communications in Mathematical Physics, 224 (2), 341-372. doi: 10.1007/s00220-001-0566-2 |
