Publications of N J Wildberger
To access most of these papers, go to Norman's Research Gate page. For more informal views, check out these papers. Here is his blog.
- NJ Wildberger and A Alkhaldi. The parabola in universal hyperbolic geometry II: Canonical points and the y-conic. Journal for Geometry and Graphics, 2016.
- NJ Wildberger and L Nguyen. Incenter circles, chromogeometry, and the Omega triangle. KoG, 18:5–18, 2014.
- NJ Wildberger and A Alkhaldi. The parabola in universal hyperbolic geometry I. KoG, 17:14–42, 2013.
- NJ Wildberger. Universal hyperbolic geometry I: Trigonometry. Geometriae Dedicata, 163:215–274, Jan 2013.
- N Le and NJ Wildberger. Universal affine triangle geometry and four-fold incenter symmetry. KoG, 16:63–80, 2012.
- NJ Wildberger and A Alkhaldi. Universal hyperbolic geometry IV: Sydpoints and twin circumcircles. KoG, 16:43–62, 2012.
- NJ Wildberger. Universal hyperbolic geometry iii: First steps in projective triangle geometry. KoG, 15:25–49, 2011.
- NJ Wildberger. Chromogeometry. Mathematical Intelligencer, 32:26–32, 2010.
- NJ Wildberger. Greek geometry, rational trigonometry, and the Snellius-Pothenot surveying problem. Chamchuri Journal of Mathematics, 2:1–14, 2010.
- NJ Wildberger. Pell’s equation without irrational numbers. Journal of Integer Sequences, 13:Article 10.4.3, 2010.
- NJ Wildberger. Chromogeometry and relativistic conics. KoG, 13:43–50, 2009.
- L Alverson, R Donnelly, SJ Lewis, M McClard, R Pervine, R Proctor, and NJ Wildberger. Distributive lattices defined for representations of rank two semisimple Lie algebras. SIAM Journal on Discrete Mathematics, 23:527–559, 2008.
- NJ Wildberger. One dimensional metrical geometry. Geometriae Dedicata, 128:145–166, 2007.
- D Arnal, N Bel Baraka, and NJ Wildberger. Diamond representations of sl(n). Annales Mathematiques Blaise Pascal, 13:381–429, 2006.
- AH Dooley and NJ Wildberger. Orbital convolution theory for semi-direct products. Journal of Lie Theory, 16:743–776, 2006.
- NJ Wildberger. Divine Proportions: Rational Trigonometry to Universal Geometry. Wild Egg Pty. Ltd, Sydney, 2005.
- NJ Wildberger. Weyl quantization and a symbol calculus for abelian groups. Journal of the Australian Mathematical Society, 78:323–338, 2005.
- NJ Wildberger. Foundations of finite group theory for a (future) computer. Mathe- matical Intelligencer, 26:45–55, 2004.
- NJ Wildberger. A combinatorial construction for simply-laced lie algebras. Advances in Applied Mathematics, 30:385–396, 2003.
- VS Sunder and NJ Wildberger. Actions of finite hypergroups. Journal of Algebraic Combinatorics, 18:135–151, 2003.
- NJ Wildberger. Combinatorial construction of g2. Journal of Lie Theory, 13:155–165, 2003.
- NJ Wildberger. Minuscule posets from neighbourly graph sequences. European Journal of Combinatorics, 24:741–757, 2003.
- NJ Wildberger. A new proof of cavalieri’s quadrature formula. American Mathematical Monthly, 109:843–845, Nov 2002.
- R Srinivasan, VS Sunder, and NJ Wildberger. Discrete series of fusion algebras. Journal of the Australian Mathematical Society Series A - Pure Mathematics and Statistics, 72:419– 425, 2002.
- NJ Wildberger. Strong hypergroups of order three. Journal of Pure and Applied Algebra, 174:95–115, 2002.
- NJ Wildberger. Algebraic structures associated to group actions and sums of hermi- tian matrices. Textos de matematica Serie B, pages 1–32, 2001.
- AH Dooley and NJ Wildberger. Global character formulae for compact lie groups. Transactions of the American Mathematical Society, pages 477–495, 1999.
- NJ Wildberger. Real fish, real numbers, real jobs. Mathematical Intelligencer, 21:4–7, 1999.
- VS Sunder and NJ Wildberger. Actions of finite hypergroups and examples. In KA Ross, JM Anderson, GL Litvinov, AI Singh, VS Sunder, and NJ Wildberger, editors, Harmonic Analysis and Hypergroups, Trends in Mathematics, pages 145–163, Inst Math Sci, Madras 600113, Tamil Nadu, India, Jan 1998. Univ Delhi, Delhi, India, Birkhauser Boston.
- NJ Wildberger. Characters, bi-modules and representations in lie group harmonic analysis. In KA Ross, JM Anderson, GL Litvinov, AI Singh, VS Sunder, and NJ Wildberger, editors, Harmonic Analysis and Hypergroups, Trends in Mathematics, pages 227–242, Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia, Jan 1998. Univ Delhi, Delhi, India, Birkhauser Boston.
- NJ Wildberger. Duality and entropy for finite commutative hypergroups and fusion rule algebras. Journal of the London Mathematical Society - Second Series, pages 275–291, 1997.
- N Obata and NJ Wildberger. Generalized hypergroups and orthogonal polynomials. Nagoya Mathematical Journal, 142:67–93, 1996.
- NJ Wildberger. Lagrange‘s theorem and integrality for finite commutative hyper- groups with applications to strongly regular graphs. Journal of Algebra, 182:1–37, 1996.
- NJ Wildberger. On the algebraic structure of Gaussian periods. Journal of Number Theory, pages 278–291, 1996.
- NJ Wildberger. Finite commutative hypergroups and applications from group theory to conformal field theory. Contemporary Mathematics, 183:413–434, 1995.
- NJ Wildberger. Hypergroups, symmetric spaces, and wrapping maps. In Probability Measures on Groups and Related Structures. Oberwolfach Germany, 1995.
- NJ Wildberger. Row-reduction and invariants of diophantine equations. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 104:549–555, Aug 1994.
- NJ Wildberger. On the fourier-transform of a compact semisimple lie group. Journal of the Australian Math Society series A - Pure Mathematics and Statistics, 56:64–116, Feb 1994.
- AH Dooley, J Repka and NJ Wildberger. Sums of adjoint orbits. Linear and Multilinear Algebra, 36:79–101, Nov 1993.
- NJ Wildberger. Diagonalization in compact lie-algebras and a new proof of a theorem of Kostant. Proc. Amer. Math. Soc. , 119 649–655, Oct 1993.
- NJ Wildberger. A deformation of the *-product of gutt on a reductive Lie algebra. Journal of Geometry and Physics, 12:217–222, Jan 1993.
- AH Dooley and NJ Wildberger. Harmonic analysis and the global exponential map for compact lie groups. Functional Analysis and Its Applications, 27 21–27, Jan 1993.
- NJ Wildberger. The moment map of a Lie group representation. Transactions of the American Mathematical Society, 330:257–268, Jan 1992.
- NJ Wildberger. On a relationship between adjoint orbits and conjugacy classes of a lie group. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 33:297–304, Sep 1990.
- NJ Wildberger. Convexity and unitary representations of nilpotent lie groups. Inventiones Mathematicae, 98:281–292, Jun 1989.
- NJ Wildberger, A soluble Diophantine equation, Math. Magazine 49 (1979), 200-201.