Alan Macfarlane

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the structure of the complement $\overline{\Mfib}$ of the set $\Mfib$ of fibbinary numbers in the set of positive natural numbers	2024	Alan Macfarlane
+	Discovery in Cambridge	2013	Alan Macfarlane
+ PDF Chat	Representations of the exceptional and other Lie algebras with integral eigenvalues of the Casimir operator	2003	Alan Macfarlane Hendryk Pfeiffer
+ PDF Chat	SYMPLECTIC AND ORTHOGONAL LIE ALGEBRA TECHNOLOGY FOR BOSONIC AND FERMIONIC OSCILLATOR MODELS OF INTEGRABLE SYSTEMS	2001	Alan Macfarlane Hendryk Pfeiffer Frank Olaf Wagner
+ PDF Chat	Erratum: “On characteristic equations, trace identities and Casimir operators of simple Lie algebras” [J. Math. Phys. <b>41</b>, 3192–3225 (2000)]	2001	Alan Macfarlane Hendryk Pfeiffer
+ PDF Chat	Optimally defined Racah–Casimir operators for su(n) and their eigenvalues for various classes of representations	2001	J. A. de Azcárraga Alan Macfarlane
+	None	2001	Alan Macfarlane
+ PDF Chat	Fermionic realisations of simple Lie algebras and their invariant fermionic operators	2000	J. A. de Azcárraga Alan Macfarlane
+ PDF Chat	On characteristic equations, trace identities and Casimir operators of simple Lie algebras	2000	Alan Macfarlane Hendryk Pfeiffer
+	None	2000	Frank Olaf Wagner Alan Macfarlane
+ PDF Chat	Yang–Baxter algebra for the n-harmonic oscillator realisation of	1999	Alan Macfarlane Frank Olaf Wagner
+ PDF Chat	Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras	1999	Chryssomalis Chryssomalakos J. A. de Azcárraga Alan Macfarlane J C Pérez Bueno
+ PDF Chat	Construction of supercharges for the one-dimensional supersymmetric nonlinear sigma model	1999	Alan Macfarlane A.J. Mountain
+	SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR	1992	Alan Macfarlane Shahn Majid
+	Current algebra and Wess-Zumino terms: a unified geometric treatment	1990	J. A. de Azcárraga José Izquierdo Alan Macfarlane
+	Anomalous current algebras in the Skyrme model or chiral G×G with Wess-Zumino term	1987	Anne-Christine Davis J. A. Gracey Alan Macfarlane
+	Spin-<i>s</i> Spherical Harmonics and ð	1967	Joshua N. Goldberg Alan Macfarlane Ezra T. Newman F. Rohrlich E. C. G. Sudarshan
+ PDF Chat	Dirac matrices and the Dirac matrix description of Lorentz transformations	1966	Alan Macfarlane
+	Kinematics of the Relativistic Two-Particle System	1963	Alan Macfarlane

Common Coauthors

Coauthor	Papers Together
J. A. de Azcárraga	4
Hendryk Pfeiffer	4
Frank Olaf Wagner	3
J. A. Gracey	1
A.J. Mountain	1
E. C. G. Sudarshan	1
J C Pérez Bueno	1
Joshua N. Goldberg	1
Ezra T. Newman	1
Shahn Majid	1
Anne-Christine Davis	1
F. Rohrlich	1
José Izquierdo	1
Chryssomalis Chryssomalakos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Gell-Mann's λ-matrices,d- andf-tensors, octets, and parametrizations ofS U (3)	1968	Alan Macfarlane Anthony Sudbery P. H. Weisz	5
+ PDF Chat	Invariant tensors for simple groups	1998	J. A. de Azcárraga Alan Macfarlane A.J. Mountain J C Pérez Bueno	5
+	Lie Groups, Lie Algebras, Cohomology and some Applications in Physics	1995	Josi A. de Azcárraga Josi M. Izquierdo	4
+ PDF Chat	Higher-Order Simple Lie Algebras	1997	J. A. de Azcárraga J C Pérez Bueno	4
+	Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies	1984	Lyudvig Dmitrievich Faddeev Samson L. Shatashvili	3
+	Casimir invariants and vector operators in simple and classical Lie algebras	1977	Susumu Ôkubo	3
+ PDF Chat	Remarks on boson commutation rules	1967	C. Itzykson	3
+ PDF Chat	Cohomology theory of Lie groups and Lie algebras	1948	Claude Chevalley Samuel Eilenberg	3
+	Diagonalisation d'une classe d'hamiltoniens de spin	1976	M. Gaudin	3
+	Modified fourth-order Casimir invariants and indices for simple Lie algebras	1982	Susumu Ôkubo	2
+	Theory of nonabelian goldstone bosons in two dimensions	1983	A. Polyakov P. Wiegmann	2
+ PDF Chat	An explicit construction of Casimir operators and eigenvalues. II	1997	Hasan R. Karadayi M. Gungormez	2
+ PDF Chat	Gaudin model, Bethe Ansatz and critical level	1994	Boris Feigin Edward Frenkel Nicolai Reshetikhin	2
+	Torsion and geometrostasis in nonlinear sigma models	1985	Eric Braaten Thomas Curtright Cosmas Zachos	2
+	2-cocycles in current algebra	1985	Takanori Fujiwara	2
+	Quantum Groups in Two-Dimensional Physics	1996	Cisar Gómez Martm Ruiz-Altaba Germán Sierra	2
+ PDF Chat	W SYMMETRIES: GAUGING AND GEOMETRY	1991	Eric Bergshoeff Adel Bilal K.S. Stelle	2
+ PDF Chat	OFF-SHELL BETHE ANSATZ EQUATION FOR GAUDIN MAGNETS AND SOLUTIONS OF KNIZHNIK-ZAMOLODCHIKOV EQUATIONS	1994	H. Babujian R. Flume	2
+ PDF Chat	DIRAC EQUATIONS, LIGHT CONE SUPERSYMMETRY, and SUPERCONFORMAL ALGEBRAS	2000	Lars Brink Pierre Ramond	2
+ PDF Chat	Separation of Variables	1995	E. K. Sklyanin	2
+	Anomalous current algebras in the Skyrme model or chiral G×G with Wess-Zumino term	1987	Anne-Christine Davis J. A. Gracey Alan Macfarlane	2
+	Global aspects of current algebra	1983	Edward Witten	2
+	Solutions of the Yang-Baxter equation	1982	P. P. Kulish E. K. Sklyanin	2
+ PDF Chat	On characteristic equations, trace identities and Casimir operators of simple Lie algebras	2000	Alan Macfarlane Hendryk Pfeiffer	2
+	On the Restricted Lorentz Group and Groups Homomorphically Related to It	1962	Alan Macfarlane	2
+ PDF Chat	Hermitian Lie algebras and metaplectic representations. I	1978	Shlomo Sternberg Joseph A. Wolf	2
+	Algebraic Tabulation of Clebsch-Gordan Coefficients of <i>SU</i>3 for the Product (λ, μ)⊗ (1, 1) of Representations of <i>SU</i>3	1965	Jacob G. Kuriyan D. Lurié Alan Macfarlane	2
+	Exact solution of the Zn+1 × Zn+1 symmetric generalization of the XXZ model	1982	O. Babelon H. J. de Vega C-M. Viallet	2
+ PDF Chat	Yang–Baxter algebra for the n-harmonic oscillator realisation of	1999	Alan Macfarlane Frank Olaf Wagner	2
+ PDF Chat	New supersymmetry of the monopole	1995	Frank De Jonghe Alan Macfarlane Kasper Peeters J.W. van Holten	2
+	Goldstone fields in two dimensions with multivalued actions	1984	A. Polyakov P. Wiegmann	2
+	None	2000	Frank Olaf Wagner Alan Macfarlane	2
+	KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS	1986	Peter Goddard DAVID OLIVE	2
+ PDF Chat	Cohomology Theory of Lie Groups and Lie Algebras	1948	Claude Chevalley Samuel Eilenberg	2
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	1
+	Exceptional Lie Algebras and Related Algebraic and Geometric Structures	1977	John R. Faulkner J. C. Ferrar	1
+	Wess-Zumino lagrangians in chiral models and quantization of their constants	1986	I. M. Krichever M. A. Olshanetsky A. M. Perelomov	1
+	Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics	1986	D. H. Sattinger O. L. Weaver	1
+	Note on the Bondi-Metzner-Sachs Group	1966	Ezra T. Newman Roger Penrose	1
+ PDF Chat	Supersymmetric Toda field theories	1996	G. Papadopoulos	1
+	Higher Heisenberg Lie algebras and metaplectic representations	1999	Jan Nekovář	1
+	Noncanonical groups of transformations, anomalies, and cohomology	1988	José F. Cariñena Alberto Ibort	1
+	The (secret?) homological algebra of the Batalin-Vilkovisky approach	1998	Jim Stasheff	1
+ PDF Chat	Topological quantization and cohomology	1985	Orlando Alvarez	1
+	Characteristic Identities for Generators of <i>GL(n), O(n)</i> and <i>Sp(n)</i>	1971	H. S. Green	1
+ PDF Chat	Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras	1999	Chryssomalis Chryssomalakos J. A. de Azcárraga Alan Macfarlane J C Pérez Bueno	1
+ PDF Chat	General indices of representations and Casimir invariants	1984	С. Окубо J. Patera	1
+	Triality, Exceptional Lie Algebras and Deligne Dimension Formulas	2002	J. M. Landsberg Laurent Manivel	1
+	Introduction to Octonion and Other Non-Associative Algebras in Physics	1995	Susumo Okubo	1
+	General indices of simple Lie algebras and symmetrized product representations	1983	С. Окубо J. Patera	1