Carbone, L., Murray, S. H. and Srinivasan, S.
Geometry of rank 2 hyperbolic root systems
arXiv:1506.05405
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Bao, L and Carbone, L
Kac--Moody groups and automorphic forms in low dimensional supergravity theories
Submitted 2016, arXiv:1602.02319
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Allcock, D. and Carbone, L.
Finite presentation of hyperbolic Kac-Moody groups over rings
Journal of Algebra 445, 232--243,
(2016), arXiv:1409.5918
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Carbone, L., Murray, S. H. and and Sati, H.
Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories
Journal of Mathematical Physics, 56, no. 10, 103501, 26 pp. (2015) arXiv:1407.3370
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Carbone, L., Lee, K.-H. and Liu, D.
Eisenstein series on rank 2 hyperbolic Kac-Moody groups over R
To appear, Math. Annalen, 2015, arXiv:1306.3280
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Ali, A and Carbone, L
Congruence subgroups of lattices in rank 2 Kac-Moody groups over finite fields
Communications in Algebra, Volume 44, Issue 3, (2016), 1236-1264
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Carbone, L, Conway, A, Freyn, W and Penta, D
Weyl group orbits on Kac-Moody root systems
J. Phys. A: Math. Theor. 47, 445201, 2014, arXiv:1407.3375
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Carbone, L., Freyn, W and Lee, K.--H.
Dimensions of Imaginary Root Spaces of Hyperbolic Kac-Moody Algebras
Vol 623 of Contemporary mathematics, Ed: Pramod et al, AMS, 2014, arXiv:1305.3318
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Carbone, L, and Rips, E
Reconstructing group actions
International Journal of Algebra and Computation, Volume No.23, Issue No. 2., 2013
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Carbone, L, Kangaslampi, R and Vdovina, A
Groups acting simply transitively on hyperbolic buildings
LMS Journal of Computation and Mathematics, Vol 15, 101-112, 2012, arXiv:1107.3690
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Carbone, L and Naqvi, Y
Hyperbolic Kac-Moody Weyl groups, billiard tables and actions of lattices on trees,
Journal of Pure and Applied Algebra, Vol 213 No. 3, 495-518, 2012
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Carbone, L, Cobbs, C and Murray, S
Fundamental domains for congruence subgroups of SL_2 in positive characteristic
Journal of Algebra, Vol 325 pp 431-439, 2011, arXiv:0909.0062
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Carbone, L, Cobbs, L and Rosenberg, G,
Tree Lattice Subgroups,
Groups, Complexity and Cryptology, Vol 3, No. 1, 1-23, 2011
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Andersen, K, Carbone, L and Penta, D
Kac-Moody Fibonacci sequences, hyperbolic golden ratios, and real quadratic fields
Journal of Number Theory and Combinatorics, Vol 2, No. 3 pp 245-278, 2011
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Carbone, L and Cobbs, C
Infinite descending chains of cocompact lattices in Kac-Moody groups
Journal of Algebra and its Applications, Journal of Algebra and Its Applications,
Vol 10, No. 6 1-33, 2011
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Carbone, L, Chung, S, Cobbs, C, McRae, R, Nandi, D, Naqvi, Y, and Penta, D
Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits
J. Phys. A: Math. Theor. 43 155209, 2010, arXiv:1003.0564
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Carbone, L
The Haagerup property, Property (T) and the Baum-Connes conjecture for locally compact Kac-Moody groups
Advances in Algebra, Vol 3, No. 1, 103-121, 2010
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Carbone, L, Ershov, M and Ritter, G
Abstract Simplicity of Complete Kac-Moody Groups Over Finite Fields,
Journal of Pure and Applied Algebra, Vol 212, 2147-2162, 2008, arXiv:math/0612772
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Carbone, L and Ciobanu, L,
Characterization of Non-minimal Tree Actions,
Revue Roumaine de Mathematiques Pures et Appliquees
(Romanian Journal of Pure and Applied Mathematics), Vol 52 No. 4, 377-388, 2007
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Carbone, L,
Non-minimal Tree Actions and the Existence of
Non-uniform Tree Lattices
Bulletin of the Australian Mathematical
Society,Vol 70, 257--266, 2004
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Carbone, L and Garland, H,
Existence of Lattices in Kac-Moody Groups over Finite Fields,
Communications in Contemporary Math, Vol 5, No.5, 813--867, 2003
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Carbone, L and Rosenberg, G,
Lattices on Non-uniform Trees,
Geometriae Dedicata, 98, 161--188, 2003
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Carbone, L,
The Tree Lattice Existence Theorems,
Comptes Rendus de l'Academie des Sciences. Serie I, Mathematique,
335, 223--228, 2002
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Carbone, L and Clark, D,
Lattices on Parabolic Trees
Communications in Algebra, Vol. 30, Issue 4, 1853--1886, 2002
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Carbone, L,
On the Classification of Rank 1 Groups Over
Non-archimedean Local Fields
Preprint, 2002
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Carbone, L,
Non-uniform Lattices on Uniform Trees,
Memoirs of the AMS, vol. 152, no. 724, 127 pages, 2001
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Carbone, L and Rosenberg, G,
Infinite Towers of Tree Lattices
Mathematical Research Letters, 8, 1--10, 2001
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Bass, H, Carbone, L, and Rosenberg, G,
The Existence Theorem for Tree Lattices,
Appendix [BCR] in `Tree Lattices' by Hyman Bass and Alex Lubotzky
Progress in Mathematics 176, Birkhauser, Boston, 167--184, 2000
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Carbone, L and Garland, H,
Lattices in Kac-Moody Groups
Mathematical Research Letters, 6, 439--447, 1999
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