Publications

• L(2,q) and the rank two Lie groups: their construction in light of Kostant’s conjecture,Trans. Amer. Math. Soc., 347(10):3983-4021, October 1995.
• Kostant’s conjecture and L(2,q) invariant theory in the rank two Lie groups, Comm. Algebra, 24(6):1915-1938, 1996.
• Kostant’s conjecture and the geometry of Cartan subalgebras in the rank two and exceptional Lie groups, J. Algebra, 182:347–382, 1996.
• Boundaries of K-types, restriction of cohomology, and the multiplicity free case, Compositio Math., 106(1):31-41, 1997.
• Closure ordering and the Kostant–Sekiguchi correspondence, joint with D. Barbasch, Proc. Amer. Math. Soc., 126(1):311-317, January 1998.
• Block-compatible metaplectic cocycles, joint with W. Banks and J. Levy, J. Reine Angew. Math., 507:131-163, 1999.
• K-types of SU(1,n) representations and restriction of cohomology, Pacific J. Math., 192(2):385-398, 2000.
• Application of restriction of Fourier transforms to an example from representation theory, joint with L. Barchini, Pacific J. Math. , 198(2):265-293, 2001.
• Finite-reductive dual pairs in G2, joint with L. Barchini, Linear Algebra Appl., 340:123-136, 2002.
• Schur orthogonality relations for the finitary infinite symmetric group, joint with R. Donley, Linear and Multilinear Algebra, 50(4):373-377, 2002
• Relative extremal projectors, joint with C. Conley, Adv. Math., 174:155-166, 2003
• Singular projective bases and the generalized Bol operator, joint with C. Conley, Adv. in Appl. Math., 33(1):158-191, 2004.
• Infinite commutative product formulas for relative extremal projectors, joint with C. Conley, Adv. Math., 196:52-77, 2005.
• On global SL(2,R) symmetries of differential operators, joint with R. Stanke, J. Funct. Anal., 224:1-21, 2005.
• Positivity of zeta distributions and small unitary representations, joint with L. Barchini and R. Zierau, The ubiquitous heat kernel, Contemp. Math., 398:1-46, Amer. Math. Soc., Providence, RI, 2006.
• Compact Lie Groups, Graduate Texts in Mathematics, Springer-Verlag, 2006.
• Global actions of Lie symmetries for the nonlinear heat equation, J. Math. Anal. Appl. 360, 35-46, 2009.
• Distinguished orbits and the L-S category of simply connected compact Lie groups, joint with M. Hunziker, Topology Appl. 156, 2443-2451, 2009.
• The nonlinear potential filtration equation and global actions of Lie symmetries, Electron. J. Differential Equations, 2009, No. 101, 24 pp.
• Global Lie symmetries of the heat and Schrodinger equation, joint with R. Stanke, J. Lie Theory 20, no. 3, 543–580, 2010.
• Algebra, Pure and Applied Undergraduate Texts, American Mathematical Society, 2010.
• The minimal representation of the conformal group and classical solutions to the wave equation, joint with M. Hunziker and R. Stanke, J. Lie Theory, 22, no. 2, 301-360, 2012.
• Polynomials and Weyl algebras on time scales, joint with M. Hunziker, Rocky Mountain J. Math, 42, no. 6, 1893-1918, 2012. 
• Global representations of the heat and Schrödinger equation with singular potential, joint with J. Franco, Electron. J. Differential Equations, 2013(154), 1-16, 2013.
• Global Lie symmetries of a system of Schrödinger equations and the oscillator representation, joint with M. Hunziker and R. Stanke, Miskolc Math. Notes, Vol. 14, No. 2, pp. 647–657, 2013.
• A System of Schrödinger equations and the oscillator representation, joint with M. Hunziker and R. Stanke, submitted.
• On divisibility of convolutions of central binomial coefficients, to appear in Electron. J. Combin.
• Determinantal Identities for Super Stirling Numbers, joint with M. Hunziker, in preparation.
• Abelian Ideals of a Borel Subalgebra and Subsets of Simple Roots, joint wiht M. Hunziker, in preparation.