P. Martin

发表

The Potts model representation and a Robinson–Schensted correspondence for the partition algebra

P. Martin, G. Rollet, P. Martin, 1998, Compositio Mathematica.

From tensor category to Temperley-Lieb algebra representation

P. Martin, P. Finch, Z. Kádár, 2016, 1607.08908.

Higher-dimensional Temperley–Lieb algebras

P. Martin, M. Alvarez, Paul Martin, 2007, 0704.3346.

TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION

Paul Martin, P. Martin, Paul Martin, 1994 .

The Structure of the Partition Algebras

P. Martin, Paul Martin, 1996 .

On the Structure of the Blob Algebra

P. Martin, D. Woodcock, Paul Martin, 2000 .

The fibres of the Scott map on polygon tilings are the flip equivalence classes

P. Martin, K. Baur, Paul Martin, 2016, Monatshefte für Mathematik.

On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary

P. Martin, A. Doikou, Paul Martin, 2005, hep-th/0503019.

Algebras in higher-dimensional statistical mechanics - the exceptional partition (mean field) algebras

P. Martin, H. Saleur, Paul Martin, 1993, hep-th/9302095.

The blob algebra and the periodic Temperley-Lieb algebra

P. Martin, H. Saleur, Paul Martin, 1993, hep-th/9302094.

Towers of recollement and bases for diagram algebras: Planar diagrams and a little beyond

P. Martin, R. M. Green, A. Parker, 2006, math/0610971.

On the algebraic approach to cubic lattice Potts models

S. Dasmahapatra, P. Martin, Paul Martin, 1995, hep-th/9512093.

On a two‐parameter generalization of Hecke algebras and the XY chain in a magnetic field

P. Martin, 1992 .

Classification of spin-chain braid representations

Eric C. Rowell, P. Martin, 2021, 2112.04533.

On quasi-heredity and cell module homomorphisms in the symplectic blob algebra

P. Martin, A. Parker, Richard Green, 2017, 1707.06520.

Generalized Blob Algebras and Alcove Geometry

P. Martin, D. Woodcock, Paul Martin, 2002, LMS J. Comput. Math..

ON SCHUR-WEYL DUALITY, An HECKE ALGEBRAS AND QUANTUM sl(N) ON $\otimes^{n+1}{\mathbb C}^N$

P. Martin, Paul Martin, 1992 .

On geometrically defined extensions of the Temperley–Lieb category in the Brauer category

P. Martin, Z. Kádár, Shona Yu, 2014, Mathematische Zeitschrift.

AN ALGEBRAIC APPROACH TO VERTEX MODELS AND TRANSFER MATRIX SPECTRA

T. Deguchi, P. Martin, 1992 .

a Template for Quantum Spin Chain Spectra

P. Martin, V. Rittenberg, 1992 .

On quantum spin-chain spectra and the structure of Hecke algebras and q-groups at roots of unity

P. Martin, D. Woodcock, Paul Martin, 1998 .

Temperley-Lieb algebra, group theory and the Potts model

P. Martin, Paul Martin, 1988 .

Zeros of the 3-state Potts model partition function for the square lattice revisited

Siti Fatimah Zakaria, P. Martin, Paul Martin, 2019, Journal of Statistical Mechanics: Theory and Experiment.

Representations of the Necklace Braid Group: Topological and Combinatorial Approaches

Andrew M. Kimball, P. Martin, A. Bullivant, 2018, Communications in Mathematical Physics.

Zeros of the partition function for the triangular lattice three-state Potts model

J. Maillard, P. Martin, Paul Martin, 1986 .

Temperley-Lieb algebras and the long distance properties of statistical mechanical models

Paul Martin, P. Martin, Paul Martin, 1990 .

Boundary conditions and the free energy for statistical mechanical models

P. Martin, Paul Martin, 1987 .

Analytic properties of the partition function for statistical mechanical models

Paul Martin, P. Martin, Paul Martin, 1986 .

The bubble algebra: structure of a two-colour Temperley–Lieb Algebra

U. Grimm, P. Martin, 2003, math-ph/0307017.

A diagrammatic approach to Hecke algebras of the reflection equation

P. Martin, D. Woodcock, D. Levy, 2000 .

On Algebraic Diagonalization of the Xxz Chain

P. Martin, H. Saleur, 1994 .

Hecke algebra solutions to the reflection equation

P. Martin, D. Levy, Paul Martin, 1994 .

On an algebraic approach to higher dimensional statistical mechanics

P. Martin, H. Saleur, Paul Martin, 1992, hep-th/9208061.

LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP

Zhenghan Wang, P. Martin, Z. Kádár, 2014, Glasgow Mathematical Journal.

The blob algebra in positive characteristic

P. Martin, J. Graham, A. Cox, 2003 .

A PRESENTATION FOR THE SYMPLECTIC BLOB ALGEBRA

P. Martin, A. Parker, Richard Green, 2012, 1808.04206.

ON COMMUTANTS, DUAL PAIRS AND NON-SEMISIMPLE ALGEBRAS FROM STATISTICAL MECHANICS

P. Martin, D. McAnally, Paul Martin, 1992 .

Tiling bijections between paths and Brauer diagrams

P. Martin, R. Marsh, 2009, 0906.0912.

Generalisations of Hecke algebras from Loop Braid Groups

P. Martin, E. Rowell, C. Damiani, 2020, 2008.04840.

From Aharonov-Bohm type effects in discrete (3+1)-dimensional higher gauge theory to representations of the Loop Braid Group

P. Martin, João F. Martins, A. Bullivant, 2018 .

Classification of charge-conserving loop braid representations

P. Martin, E. Rowell, Fiona Torzewska, 2023, 2301.13831.

Classification of spin-chain braid representations

P. Martin, E. Rowell, Paul Martin, 2021, 2112.04533.

Representations of the loop braid group and Aharonov–Bohm like effects in discrete $(3+1)$-dimensional higher gauge theory

P. Martin, João F. Martins, A. Bullivant, 2018, Advances in Theoretical and Mathematical Physics.

The structure of n-variable polynomial rings as Hecke algebra modules

P. Martin, 1993 .

Exactly solvable models for 2+1D topological phases derived from crossed modules of semisimple Hopf algebras

Vincent Koppen, Joao Faria Martins, Paul Purdon Martin, 2021, 2104.02766.

Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry

P. Martin, João F. Martins, M. Calçada, 2017, Reviews in Mathematical Physics.

Topological phases from higher gauge symmetry in 3 + 1 dimensions

P. Martin, João F. Martins, A. Bullivant, 2016, 1606.06639.

Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n

V. Mazorchuk, P. Martin, 2016 .

On the number of principal ideals in d-tonal partition monoids

V. Mazorchuk, P. Martin, C. Ahmed, 2015, Annals of Combinatorics.

On the representation theory of partial Brauer algebras

Volodymyr Mazorchuk, Paul Martin, V. Mazorchuk, 2012, 1205.0464.

REPRESENTATION THEORY OF A SMALL RAMIFIED PARTITION ALGEBRA

P. Martin, 2010 .

A geometric characterisation of the blocks of the Brauer algebra

P. Martin, A. Cox, M. De Visscher, 2006, math/0612584.

On the blocks of the walled Brauer algebra

S. Doty, P. Martin, M. Visscher, 2007, 0709.0851.

The blocks of the Brauer algebra in characteristic zero

P. Martin, M. Visscher, A. Cox, 2006, math/0601387.

Representation theory of towers of recollement: Theory, notes, and examples

P. Martin, Changchang Xi, A. Parker, 2004, math/0411395.

The partition algebra and the Potts model transfer matrix spectrum in high dimensions

Paul Martin, P. Martin, Paul Martin, 2000 .

Tonal partition algebras: fundamental and geometrical aspects of representation theory

V. Mazorchuk, P. Martin, C. Ahmed, 2019, 1912.01898.

Q A ] 1 4 N ov 2 01 4 REPRESENTATIONS OF THE LOOP BRAID GROUP

Zhenghan Wang, P. Martin, Z. Kádár, 2014 .

Indecomposable tilting modules for the blob algebra

P. Martin, A. Parker, Amit Hazi, 2018, Journal of Algebra.

Decomposition matrices and blocks for the symplectic blob algebra over the complex field

P. Martin, O. King, A. Parker, 2016, 1611.06968.

Motion Groupoids and Mapping Class Groupoids

Joao Faria Martins, Paul Purdon Martin, Fiona Torzewska, 2021, Communications in Mathematical Physics.

On a canonical lift of Artin's representation to loop braid groups

P. Martin, João F. Martins, C. Damiani, 2019, 1912.11898.

ON SCHUR-WEYL DUALITY, An HECKE ALGEBRAS AND QUANTUM sl(N) ON ⊗CI

P. Martin, Paul Martin, 2008 .

On Central Idempotents in the Partition Algebra

Paul Martin, P. Martin, D Woodcock, 1999 .

On quantum spin-chain spectra and the representation theory of Hecke algebras by augmented braid diagrams

Bruce W. Westbury, P. Martin, Paul Martin, 1997 .

The Potts model and the Beraha numbers

Paul Martin, P. Martin, Paul Martin, 1987 .

Representations of Graph Temperley-Lieb Algebras

Paul Martin, P. Martin, 1990 .

The decomposition matrices of the Brauer algebra over the complex field

P. Martin, Paul Martin, 2009, 0908.1500.