Biography

I am a lecturer in the School of Mathematics at the University of East Anglia.  My research focuses on the representation theory of the symmetric groups and related algebras.

Follow this link for details of current PhD opportunities in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.

Career History

  • ·         PhD in mathematics, Imperial College, London, 2003.  
  • ·         Postdoctoral Fellow, University of Sydney, 2003-2004. 
  • ·         Sesqui postdoctoral Fellow, University of Sydney, 2004-2006. 
  • ·         Lecturer in mathematics, University of East Anglia, 2007 - present.

All Publications

Lyle, S., Ruff, O.

(2016)

Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight,

in Journal of Pure and Applied Algebra

220

(6)

pp. 2112-2142

Full Text UEA Repository

(Article)

(Published)


Lyle, S., Mathas, A.

(2014)

Cyclotomic Carter-Payne homomorphisms,

in Representation Theory

18

(5)

pp. 117-154

Full Text UEA Repository

(Article)

(Published)


Fayers, M., Lyle, S.

(2013)

The reducible Specht modules for the Hecke algebra $\mathcal{H}_{\mathbb{C},{-}1}(\mathfrak{S}_{n})$,

in Journal of Algebraic Combinatorics

37

(2)

pp. 201-241

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2013)

Large-dimensional homomorphism spaces between Weyl modules and Specht modules,

in Journal of Pure and Applied Algebra

217

(1)

pp. 87-96

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2013)

On Homomorphisms Indexed by Semistandard Tableaux,

in Algebras and Representation Theory

16

(5)

pp. 1409-1447

Full Text UEA Repository

(Article)

(Published)


Lyle, S., Mathas, A.

(2010)

Carter–Payne homomorphisms and Jantzen filtrations,

in Journal of Algebraic Combinatorics

32

(3)

pp. 417-457

Full Text UEA Repository

(Article)

(Published)


Brandt, M., Dipper, R., James, G., Lyle, S.

(2009)

Rank polynomials,

in Proceedings of the London Mathematical Society

98

(1)

pp. 1-18

Full Text UEA Repository

(Article)

(Published)


Fayers, M., Lyle, S.

(2009)

Some reducible Specht modules for Iwahori–Hecke algebras of type A with q=−1,

in Journal of Algebra

321

(3)

pp. 912-933

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2007)

Some q-analogues of the Carter-Payne theorem,

in Journal für die reine und angewandte Mathematik (Crelles Journal)

2007

(608)

pp. 93-121

Full Text UEA Repository

(Article)

(Published)


Lyle, S., Mathas, A.

(2007)

Blocks of affine and cyclotomic Hecke algebras,

in Advances in Mathematics

216

(2)

pp. 854-878

Full Text UEA Repository

(Article)

(Published)


Fayers, M., Lyle, S., Martin, S.

(2006)

p-restriction of partitions and homomorphisms between Specht modules,

in Journal of Algebra

306

(1)

pp. 175-190

Full Text UEA Repository

(Article)

(Published)


James, G., Lyle, S., Mathas, A.

(2006)

Rouquier blocks,

in Mathematische Zeitschrift

252

(3)

pp. 511-531

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2006)

Some Results Obtained by Application of the LLT Algorithm,

in Communications in Algebra

24

(5)

pp. 1723-1752

Full Text UEA Repository

(Article)

(Published)


Lyle, S., Mathas, A.

(2005)

Row and Column Removal Theorems for Homomorphisms of Specht Modules and Weyl Modules,

in Journal of Algebraic Combinatorics

22

(2)

pp. 151-179

Full Text UEA Repository

(Article)

(Published)


Fayers, M., Lyle, S.

(2003)

Row and column removal theorems for homomorphisms between Specht modules,

in Journal of Pure and Applied Algebra

185

(1-3)

pp. 147-164

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2003)

On Specht modules of general linear groups,

in Journal of Algebra

269

(2)

pp. 726-734

Full Text UEA Repository

(Article)

(Published)


Lyle, S.

(2003)

Some reducible Specht modules,

in Journal of Algebra

269

(2)

pp. 536-543

Full Text UEA Repository

(Article)

(Published)


Key Research Interests

My research focuses on the representation theory of the symmetric groups and related algebras.  These algebras include the Hecke algebras of type A, the Ariki-Koike algebras and the (cyclotomic) q-Schur algebras. 
Research Keywords:

Symmetric groups

Hecke algebras

Cyclotomic quiver Hecke algebras

Specht modules

Research Supervision

Representations of symmetric groups and related algebras

Representations of cyclotomic quiver Hecke algebras (Khovanov-Lauda-Rouquier algebras)

Key Responsibilities

·         BSc and MMath Course Director

·         Director of Equality and Diversity

·         Member of the Executive Team

·         Member of the Promotions Committee

·         Member of the Exam Board