Temperley–Lieb algebra (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Temperley–Lieb algebra" in English language version.

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Temperley, Neville; Lieb, Elliott (1971). "Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 322 (1549): 251–280. Bibcode:1971RSPSA.322..251T. doi:10.1098/rspa.1971.0067. JSTOR 77727. MR 0498284. S2CID 122770421.
Batchelor, Murray; de Gier, Jan; Nienhuis, Bernard (2001). "The quantum symmetric $XXZ$ chain at $\Delta =-1/2$ , alternating-sign matrices and plane partitions". Journal of Physics A. 34 (19): L265–L270. arXiv:cond-mat/0101385. doi:10.1088/0305-4470/34/19/101. MR 1836155. S2CID 118048447.
de Gier, Jan (2005). "Loops, matchings and alternating-sign matrices". Discrete Mathematics. 298 (1–3): 365–388. arXiv:math/0211285. doi:10.1016/j.disc.2003.11.060. MR 2163456. S2CID 2129159.

arxiv.org

Ridout, David; Saint-Aubin, Yvan (2012-04-20). "Standard Modules, Induction and the Temperley-Lieb Algebra". arXiv:1204.4505v4 [math-ph].
Halverson, Tom; Jacobson, Theodore N. (2018-08-24). "Set-partition tableaux and representations of diagram algebras". arXiv:1808.08118v2 [math.RT].
Belletête, Jonathan; Saint-Aubin, Yvan (2018-02-10). "On the computation of fusion over the affine Temperley-Lieb algebra". Nuclear Physics B. 937: 333–370. arXiv:1802.03575v1. Bibcode:2018NuPhB.937..333B. doi:10.1016/j.nuclphysb.2018.10.016. S2CID 119131017.
Read, N.; Saleur, H. (2007-01-11). "Enlarged symmetry algebras of spin chains, loop models, and S-matrices". Nuclear Physics B. 777 (3): 263–315. arXiv:cond-mat/0701259. Bibcode:2007NuPhB.777..263R. doi:10.1016/j.nuclphysb.2007.03.007. S2CID 119152756.
Batchelor, Murray; de Gier, Jan; Nienhuis, Bernard (2001). "The quantum symmetric $XXZ$ chain at $\Delta =-1/2$ , alternating-sign matrices and plane partitions". Journal of Physics A. 34 (19): L265–L270. arXiv:cond-mat/0101385. doi:10.1088/0305-4470/34/19/101. MR 1836155. S2CID 118048447.
de Gier, Jan (2005). "Loops, matchings and alternating-sign matrices". Discrete Mathematics. 298 (1–3): 365–388. arXiv:math/0211285. doi:10.1016/j.disc.2003.11.060. MR 2163456. S2CID 2129159.

doi.org

Kassel, Christian; Turaev, Vladimir (2008). "Braid Groups". Graduate Texts in Mathematics. New York, NY: Springer New York. doi:10.1007/978-0-387-68548-9. ISBN 978-0-387-33841-5. ISSN 0072-5285.
Benkart, Georgia; Moon, Dongho (2005-04-26), "Tensor product representations of Temperley-Lieb algebras and Chebyshev polynomials", Representations of Algebras and Related Topics, Providence, Rhode Island: American Mathematical Society, pp. 57–80, doi:10.1090/fic/045/05, ISBN 9780821834152
Belletête, Jonathan; Saint-Aubin, Yvan (2018-02-10). "On the computation of fusion over the affine Temperley-Lieb algebra". Nuclear Physics B. 937: 333–370. arXiv:1802.03575v1. Bibcode:2018NuPhB.937..333B. doi:10.1016/j.nuclphysb.2018.10.016. S2CID 119131017.
Read, N.; Saleur, H. (2007-01-11). "Enlarged symmetry algebras of spin chains, loop models, and S-matrices". Nuclear Physics B. 777 (3): 263–315. arXiv:cond-mat/0701259. Bibcode:2007NuPhB.777..263R. doi:10.1016/j.nuclphysb.2007.03.007. S2CID 119152756.
Temperley, Neville; Lieb, Elliott (1971). "Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 322 (1549): 251–280. Bibcode:1971RSPSA.322..251T. doi:10.1098/rspa.1971.0067. JSTOR 77727. MR 0498284. S2CID 122770421.
Batchelor, Murray; de Gier, Jan; Nienhuis, Bernard (2001). "The quantum symmetric $XXZ$ chain at $\Delta =-1/2$ , alternating-sign matrices and plane partitions". Journal of Physics A. 34 (19): L265–L270. arXiv:cond-mat/0101385. doi:10.1088/0305-4470/34/19/101. MR 1836155. S2CID 118048447.
de Gier, Jan (2005). "Loops, matchings and alternating-sign matrices". Discrete Mathematics. 298 (1–3): 365–388. arXiv:math/0211285. doi:10.1016/j.disc.2003.11.060. MR 2163456. S2CID 2129159.

harvard.edu

ui.adsabs.harvard.edu

Belletête, Jonathan; Saint-Aubin, Yvan (2018-02-10). "On the computation of fusion over the affine Temperley-Lieb algebra". Nuclear Physics B. 937: 333–370. arXiv:1802.03575v1. Bibcode:2018NuPhB.937..333B. doi:10.1016/j.nuclphysb.2018.10.016. S2CID 119131017.
Read, N.; Saleur, H. (2007-01-11). "Enlarged symmetry algebras of spin chains, loop models, and S-matrices". Nuclear Physics B. 777 (3): 263–315. arXiv:cond-mat/0701259. Bibcode:2007NuPhB.777..263R. doi:10.1016/j.nuclphysb.2007.03.007. S2CID 119152756.
Temperley, Neville; Lieb, Elliott (1971). "Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 322 (1549): 251–280. Bibcode:1971RSPSA.322..251T. doi:10.1098/rspa.1971.0067. JSTOR 77727. MR 0498284. S2CID 122770421.

jstor.org

Temperley, Neville; Lieb, Elliott (1971). "Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 322 (1549): 251–280. Bibcode:1971RSPSA.322..251T. doi:10.1098/rspa.1971.0067. JSTOR 77727. MR 0498284. S2CID 122770421.

semanticscholar.org

api.semanticscholar.org

Belletête, Jonathan; Saint-Aubin, Yvan (2018-02-10). "On the computation of fusion over the affine Temperley-Lieb algebra". Nuclear Physics B. 937: 333–370. arXiv:1802.03575v1. Bibcode:2018NuPhB.937..333B. doi:10.1016/j.nuclphysb.2018.10.016. S2CID 119131017.
Read, N.; Saleur, H. (2007-01-11). "Enlarged symmetry algebras of spin chains, loop models, and S-matrices". Nuclear Physics B. 777 (3): 263–315. arXiv:cond-mat/0701259. Bibcode:2007NuPhB.777..263R. doi:10.1016/j.nuclphysb.2007.03.007. S2CID 119152756.
Temperley, Neville; Lieb, Elliott (1971). "Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 322 (1549): 251–280. Bibcode:1971RSPSA.322..251T. doi:10.1098/rspa.1971.0067. JSTOR 77727. MR 0498284. S2CID 122770421.
Batchelor, Murray; de Gier, Jan; Nienhuis, Bernard (2001). "The quantum symmetric $XXZ$ chain at $\Delta =-1/2$ , alternating-sign matrices and plane partitions". Journal of Physics A. 34 (19): L265–L270. arXiv:cond-mat/0101385. doi:10.1088/0305-4470/34/19/101. MR 1836155. S2CID 118048447.
de Gier, Jan (2005). "Loops, matchings and alternating-sign matrices". Discrete Mathematics. 298 (1–3): 365–388. arXiv:math/0211285. doi:10.1016/j.disc.2003.11.060. MR 2163456. S2CID 2129159.

worldcat.org

search.worldcat.org

Kassel, Christian; Turaev, Vladimir (2008). "Braid Groups". Graduate Texts in Mathematics. New York, NY: Springer New York. doi:10.1007/978-0-387-68548-9. ISBN 978-0-387-33841-5. ISSN 0072-5285.