By Professor Norman J Wildberger

Journal articles

Wildberger NJ, 1996, 'Lagrange`s theorem and integrality for finite commutative hypergroups with applications to strongly regular graphs', Journal of Algebra, 182, pp. 1 - 37

Wildberger NJ, 1996, 'On the algebraic structure of Gaussian periods', Journal of Number Theory, pp. 278 - 291

Wildberger NJ, 1995, 'Finite commutative hypergroups and applications from group theory to conformal field theory', Contemporary Mathematics, 183, pp. 413 - 434

Wildberger NJ, 1994, 'Row-reduction and invariants of Diophantine equations', Proceedings of the Indian Academy of Sciences Mathematical Sciences, 104, pp. 549 - 555, http://dx.doi.org/10.1007/BF02867120

Wildberger NJ, 1994, 'On the Fourier Transform of a Compact Semisimple Lie Group', Journal of the Australian Mathematical Society, 56, pp. 64 - 116, http://dx.doi.org/10.1017/S1446788700034741

Dooley AH; Wildberger NJ; Repka J, 1993, 'Sums of Adjoint Orbits', Linear and Multilinear Algebra, 36, pp. 79 - 101, http://dx.doi.org/10.1080/03081089308818278

WILDBERGER NJ, 1993, 'DIAGONALIZATION IN COMPACT LIE-ALGEBRAS AND A NEW PROOF OF A THEOREM OF KOSTANT', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 119, pp. 649 - 655, http://dx.doi.org/10.2307/2159953

Wildberger NJ, 1993, 'A deformation of the *-product of Gutt on a reductive Lie algebra', Journal of Geometry and Physics, 12, pp. 217 - 222, http://dx.doi.org/10.1016/0393-0440(93)90035-D

Wildberger NJ, 1993, 'Diagonalization in compact lie algebras and a new proof of a theorem of kostant', Proceedings of the American Mathematical Society, 119, pp. 649 - 655, http://dx.doi.org/10.1090/S0002-9939-1993-1151817-6

Dooley AH; Wildberger NJ, 1993, 'Harmonic analysis and the global exponential map for compact Lie groups', Functional Analysis and Its Applications, 27, pp. 21 - 27, http://dx.doi.org/10.1007/BF01768664

Wildberger NJ, 1992, 'The moment map of a lie group representation', Transactions of the American Mathematical Society, 330, pp. 257 - 268, http://dx.doi.org/10.1090/S0002-9947-1992-1040046-6

Wildberger NJ, 1992, 'The moment map of a lie group representation', Transactions of the American Mathematical Society, 330, pp. 257 - 268, http://dx.doi.org/10.1090/S0002-9947-1992-1028765-9

Repka J; Wildberger N, 1990, 'Invariant measure on sums of symmetric 3*3 matrices with specified eigenvalues', Journal of Physics A General Physics, 23, pp. 5717 - 5724, http://dx.doi.org/10.1088/0305-4470/23/24/013

WILDBERGER NJ, 1990, 'ON A RELATIONSHIP BETWEEN ADJOINT ORBITS AND CONJUGACY CLASSES OF A LIE GROUP', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 33, pp. 297 - 304, http://dx.doi.org/10.4153/CMB-1990-048-4

Wildberger NJ, 1989, 'Convexity and unitary representations of nilpotent Lie groups', Inventiones Mathematicae, 98, pp. 281 - 292, http://dx.doi.org/10.1007/BF01388854

Conference Papers

Sunder VS; Wildberger NJ, 1995, 'Actions of finite hypergroups and examples', in Ross KA; Anderson JM; Litvinov GL; Singh AI; Sunder VS; Wildberger NJ (eds.), HARMONIC ANALYSIS AND HYPERGROUPS, BIRKHAUSER BOSTON, INDIA, UNIV DELHI, DELHI, pp. 145 - 163, presented at International Conference on Harmonic Analysis, INDIA, UNIV DELHI, DELHI, 18 December 1995 - 22 December 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000073104300010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Wildberger NJ, 1995, 'Characters, Bi-modules and representations in Lie group harmonic analysis', in Ross KA; Anderson JM; Litvinov GL; Singh AI; Sunder VS; Wildberger NJ (eds.), HARMONIC ANALYSIS AND HYPERGROUPS, BIRKHAUSER BOSTON, INDIA, UNIV DELHI, DELHI, pp. 227 - 242, presented at International Conference on Harmonic Analysis, INDIA, UNIV DELHI, DELHI, 18 December 1995 - 22 December 1995, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000073104300014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Wildberger NJ, 1994, 'Hypergroups, symmetric spaces, and wrapping maps', in Probability Measures on Groups and Related Structures, Oberwolfach Germany, presented at Probability Measures on Groups and Related Structures, Oberwolfach Germany, 23 October 1994 - 29 October 1994

Preprints

Wildberger NJ, 2010, Universal Hyperbolic Geometry II: A pictorial overview, http://arxiv.org/abs/1012.0880v1

Goh S; Wildberger NJ, 2009, Spread polynomials, rotations and the butterfly effect, https://arxiv.org/abs/0911.1025

Wildberger NJ, 2008, Neuberg cubics over finite fields, http://web.maths.unsw.edu.au/~norman/papers/Neuberg2.pdf

Wildberger NJ, 2008, The ancient Greeks present: Rational Trigonometry, http://adsabs.harvard.edu/abs/2008arXiv0806.3481W

Wildberger NJ, 2006, Affine and projective universal geometry, http://web.maths.unsw.edu.au/~norman/papers/AffineProjArXiV.pdf

Arnal D; Baraka NB; Wildberger NJ, 2005, Diamond representations of $\mathfrak{sl}(n)$, https://archive.org/details/arxiv-math0507435

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