Paul Terwilliger

Author Identifier: P.Terwilliger.1

Updated on Oct 15, 2021

Literature(17)

Cited By

17 results

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Most Recent

The compact presentation for the alternating central extension of the q-Onsager algebra

Paul Terwilliger

(Apr 14, 2023)

Published in:
- J.Pure Appl.Algebra 227 (2023) 107408

DOI

reference search0 citations

The alternating central extension of the Onsager Lie algebra

Paul Terwilliger

(Jan 2, 2023)

Published in:
- Commun.Algebra 51 (2023) 1, 330-349

DOI

reference search1 citation

Using a q-shuffle algebra to describe the basic module V(Λ0) for the quantized enveloping algebra Uq(^sl2).

Paul Terwilliger

(2023)

Published in:
- Ars Math. Contemp. 23 (2023) 4, 10

DOI

reference search0 citations

Using Catalan words and a q-shuffle algebra to describe the Beck PBW basis for the positive part of

U_{q} ({\hat{sl}}_{2})

Paul Terwilliger

(Aug 28, 2021)

Published in:
- J.Algebra 604 (2022) 162-184
•
e-Print:
- 2108.12708 [math.QA]

pdfDOI

reference search1 citation

The Alternating Central Extension of the q-Onsager Algebra

Paul Terwilliger

(Aug 4, 2021)

Published in:
- Commun.Math.Phys. 387 (2021) 3, 1771-1819

DOI

reference search8 citations

The q-Onsager algebra and its alternating central extension

Paul Terwilliger

(Jun 26, 2021)

Published in:
- Nucl.Phys.B 975 (2022) 115662
•
e-Print:
- 2106.14041 [math.QA]

pdfDOI

reference search3 citations

A conjecture concerning the q -Onsager algebra

Paul Terwilliger
(
- Wisconsin U., Madison, Math. Dept.
)

(Jan 24, 2021)

Published in:
- Nucl.Phys.B 966 (2021) 115391
•
e-Print:
- 2101.09860 [math.QA]

DOI

reference search6 citations

An Infinite-Dimensional

\square_q

-Module Obtained from the

q

-Shuffle Algebra for Affine

\mathfrak{sl}_2

(2020)

Published in:
- SIGMA 16 (2020) 037

linksDOI

reference search2 citations

The alternating central extension for the positive part of Uq(slˆ2)

Paul Terwilliger

(Oct, 2019)

Published in:
- Nucl.Phys.B 947 (2019) 114729

pdfDOI

reference search7 citations

The alternating PBW basis for the positive part of

U_q(\widehat{\mathfrak{sl}}_2)

#10

Paul Terwilliger

(Feb 2, 2019)

Published in:
- J.Math.Phys. 60 (2019) 7, 071704
•
e-Print:
- 1902.00721 [math.QA]

DOI

reference search8 citations

An action of the free product Z2⋆Z2⋆Z2 on the q -Onsager algebra and its current algebra

#11

Paul Terwilliger

(Aug 29, 2018)

Published in:
- Nucl.Phys.B 936 (2018) 306-319
•
e-Print:
- 1808.09901 [math-ph]

DOI

reference search6 citations

The Lusztig automorphism of the q -Onsager algebra

#12

Paul Terwilliger

(Jul 15, 2018)

Published in:
- J.Algebra 506 (2018) 56-75

DOI

reference search10 citations

The

q

-Onsager Algebra and the Universal Askey-Wilson Algebra

#13

Paul Terwilliger

(2018)

Published in:
- SIGMA 14 (2018) 044

linksDOI

reference search7 citations

The q-Onsager algebra and the positive part of

U_{q} ({\hat{sl}}_{2})

#14

Paul Terwilliger

(Jan 25, 2017)

Published in:
- Linear Algebra Appl. 521 (2017) 19-56

DOI

reference search13 citations

The

q

-tetrahedron algebra and its finite dimensional irreducible modules

#15

(Feb, 2006)

e-Print:
- math/0602199 [math.QA]

pdf

reference search2 citations

The Tetrahedron algebra, the Onsager algebra, and the

sl-2

loop algebra

#16

(Nov, 2005)

Published in:
- J.Algebra 308 (2007) 840-863
•
e-Print:
- math-ph/0511004 [math-ph]

pdfDOI

reference search10 citations

Two linear transformations each tridiagonal with respect to an eigenbasis of the other: An Algebraic approach to the Askey scheme of orthogonal polynomials

#17

Paul Terwilliger
(
- Wisconsin U., Madison, Math. Dept.
)

(Aug, 2004)

e-Print:
- math/0408390 [math.QA]

pdf

reference search11 citations

Paul Terwilliger

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