1

Total positivity in loop groups, I: Whirls and curls

Thomas Lam, Pavlo Pylyavskyy
Journal:
Advances in Mathematics
Year:
2012
Language:
english
File:
PDF, 439 KB
english, 2012
2

Schur positivity and Schur log-concavity

Lam, Thomas., Postnikov, Alexander., Pylyavskyy, Pavlo.
Journal:
American Journal of Mathematics
Year:
2007
Language:
english
File:
PDF, 413 KB
english, 2007
3

Schur Positivity and Schur Log-Concavity

Thomas Lam, Alexander Postnikov and Pavlo Pylyavskyy
Journal:
American Journal of Mathematics
Year:
2007
Language:
english
File:
PDF, 1.32 MB
english, 2007
4

Y -meshes and generalized pentagram maps

Glick, Max, Pylyavskyy, Pavlo
Journal:
Proceedings of the London Mathematical Society
Year:
2016
Language:
english
File:
PDF, 1.45 MB
english, 2016
5

Matrix-Ball Construction of affine Robinson–Schensted correspondence

Chmutov, Michael, Pylyavskyy, Pavlo, Yudovina, Elena
Journal:
Selecta Mathematica
Year:
2018
Language:
english
File:
PDF, 2.08 MB
english, 2018
6

The classification of Zamolodchikov periodic quivers

Galashin, Pavel, Pylyavskyy, Pavlo
Journal:
American Journal of Mathematics
Year:
2019
Language:
english
File:
PDF, 513 KB
english, 2019
7

Temperley–Lieb pfaffinants and Schur Q-positivity conjectures

Thomas Lam, Pavlo Pylyavskyy
Journal:
Advances in Mathematics
Year:
2008
Language:
english
File:
PDF, 720 KB
english, 2008
8

On products of characters and support containment

Galyna Dobrovolska, Pavlo Pylyavskyy
Journal:
Journal of Algebra
Year:
2007
Language:
english
File:
PDF, 308 KB
english, 2007
9

A non-crossing standard monomial theory

T. Kyle Petersen, Pavlo Pylyavskyy, David E. Speyer
Journal:
Journal of Algebra
Year:
2010
Language:
english
File:
PDF, 302 KB
english, 2010
10

Inverse Problem in Cylindrical Electrical Networks

Lam, Thomas, Pylyavskyy, Pavlo
Journal:
SIAM Journal on Applied Mathematics
Year:
2012
Language:
english
File:
PDF, 440 KB
english, 2012
11

Crystals and total positivity on orientable surfaces

Thomas Lam, Pavlo Pylyavskyy
Journal:
Selecta Mathematica
Year:
2013
Language:
english
File:
PDF, 1.91 MB
english, 2013
12

Total positivity for loop groups II: Chevalley generators

Thomas Lam, Pavlo Pylyavskyy
Journal:
Transformation Groups
Year:
2013
Language:
english
File:
PDF, 757 KB
english, 2013
13

Tensor diagrams and cluster algebras

Fomin, Sergey, Pylyavskyy, Pavlo
Journal:
Advances in Mathematics
Year:
2016
Language:
english
File:
PDF, 3.29 MB
english, 2016
14

R-systems

Galashin, Pavel, Pylyavskyy, Pavlo
Journal:
Selecta Mathematica
Year:
2019
Language:
english
File:
PDF, 1.62 MB
english, 2019
15

Quivers with subadditive labelings: classification and integrability

Galashin, Pavel, Pylyavskyy, Pavlo
Journal:
Mathematische Zeitschrift
Year:
2019
Language:
english
File:
PDF, 1.11 MB
english, 2019
16

Zamolodchikov integrability via rings of invariants

Pylyavskyy, Pavlo
Journal:
Journal of Integrable Systems
Year:
2016
Language:
english
File:
PDF, 687 KB
english, 2016
18

-web immanants

Pavlo Pylyavskyy
Journal:
Discrete Mathematics
Year:
2010
Language:
english
File:
PDF, 485 KB
english, 2010
21

Non-Crossing Tableaux

Pavlo Pylyavskyy
Journal:
Annals of Combinatorics
Year:
2009
Language:
english
File:
PDF, 379 KB
english, 2009
22

Cell transfer and monomial positivity

Thomas Lam, Pavlo Pylyavskyy
Journal:
Journal of Algebraic Combinatorics
Year:
2007
Language:
english
File:
PDF, 376 KB
english, 2007
23

Promotion and cyclic sieving via webs

T. Kyle Petersen, Pavlo Pylyavskyy, Brendon Rhoades
Journal:
Journal of Algebraic Combinatorics
Year:
2009
Language:
english
File:
PDF, 635 KB
english, 2009
24

P-partition products and fundamental quasi-symmetric function positivity

Thomas Lam, Pavlo Pylyavskyy
Journal:
Advances in Applied Mathematics
Year:
2008
Language:
english
File:
PDF, 291 KB
english, 2008
25

BOX-BASKET-BALL SYSTEMS

LAM, THOMAS, PYLYAVSKYY, PAVLO, SAKAMOTO, REIHO
Journal:
Reviews in Mathematical Physics
Year:
2012
Language:
english
File:
PDF, 464 KB
english, 2012
26

Combinatorics of K-theory via a

Patrias, Rebecca, Pylyavskyy, Pavlo
Journal:
Discrete Mathematics
Year:
2016
Language:
english
File:
PDF, 490 KB
english, 2016
28

Linear Laurent Phenomenon Algebras

Lam, Thomas, Pylyavskyy, Pavlo
Journal:
International Mathematics Research Notices
Year:
2015
Language:
english
File:
PDF, 422 KB
english, 2015
30

DISCRETE SOLITONS IN INFINITE REDUCED WORDS

GLICK, MAX, PYLYAVSKYY, PAVLO
Journal:
Transformation Groups
Year:
2018
Language:
english
File:
PDF, 673 KB
english, 2018
31

R-systems

Galashin, Pavel, Pylyavskyy, Pavlo
Journal:
Selecta Mathematica
Year:
2019
File:
PDF, 1.62 MB
2019
32

Linear Recurrences for Cylindrical Networks

Galashin, Pavel, Pylyavskyy, Pavlo
Journal:
International Mathematics Research Notices
Year:
2019
Language:
english
File:
PDF, 1.56 MB
english, 2019
34

Rigged configurations and cylindric loop Schur functions

Lam, Thomas, Pylyavskyy, Pavlo, Sakamoto, Reiho
Journal:
Annales de l'Institut Henri Poincaré D
Year:
2018
Language:
english
File:
PDF, 415 KB
english, 2018
35

Puzzles in K-homology of Grassmannians

Pylyavskyy, Pavlo, Yang, Jed
Journal:
Pacific Journal of Mathematics
Year:
2019
File:
PDF, 383 KB
2019