I. Heckenberger

发表

Weyl groupoids with at most three objects

M. Cuntz, I. Heckenberger, Michael Cuntz, 2008, 0805.1810.

A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups

I. Heckenberger, L. Vendramin, 2014, 1412.0857.

Root multiplicities for Nichols algebras of diagonal type of rank two

I. Heckenberger, Y. Zheng, Yiwei Zheng, 2017 .

Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic

I. Heckenberger, Jing Wang, 2014, 1407.6817.

The classification of Nichols algebras with finite root system of rank two

I. Heckenberger, L. Vendramin, 2013 .

The classification of Nichols algebras over groups with finite root system of rank two

I. Heckenberger, L. Vendramin, 2013, 1311.2881.

Root systems and Weyl groupoids for Nichols algebras

H. Schneider, I. Heckenberger, 2008, 0807.0691.

Examples of finite-dimensional rank 2 Nichols algebras of diagonal type

I. Heckenberger, 2007, Compositio Mathematica.

Classification of arithmetic root systems

I. Heckenberger, 2006, math/0605795.

Differential Calculus on Quantum Homogeneous Spaces

I. Heckenberger, S. Kolb, 2003 .

De Rham complex for quantized irreducible flag manifolds

I. Heckenberger, S. Kolb, 2003, math/0307402.

Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus

I. Heckenberger, S. Kolb, 2002, math/0204264.

We use the de nition of the Birman { Wenzl { Murakami algebra BWM

I. Heckenberger, 2001 .

Laplace operator and hodge decomposition for quantum groups and quantum spaces

I. Heckenberger, A. Schüler, 2001 .

DIFFERENTIAL CALCULUS ON QUANTUM COMPLEX GRASSMANN MANIFOLDS II: CLASSIFICATION

I. Heckenberger, S. Kolb, 2001, math/0112155.

Classification of Left-Covariant Differential Calculi on the Quantum Group SLq(2)☆☆☆

I. Heckenberger, 2000, math/0006211.

Hodge and Laplace–Beltrami Operators for Bicovariant Differential Calculi on Quantum Groups

I. Heckenberger, 1999, Compositio Mathematica.

ON FRT– CLIFFORD ALGEBRAS

I. Heckenberger, A. Schüler, 2000, math/0010250.

Q A ] 2 6 O ct 2 00 0 On FRT – Clifford Algebras

I. Heckenberger, A. Schüler, 2000 .

Spin geometry on quantum groups via covariant differential calculi

I. Heckenberger, 2000, math/0006226.

Higher order differential calculus on SLq(N)

I. Heckenberger, A. Schüler, 1997, q-alg/9708013.

Finite dimensional rank 2 Nichols algebras of diagonal type II: Classification

I. Heckenberger, 2004, math/0404008.

Drinfel'd doubles and Shapovalov determinants

I. Heckenberger, H. Yamane, 2008, 0810.1621.

Classification of arithmetic root systems

I. Heckenberger, 2006, math/0605795.

On the Bernstein-Gelfand-Gelfand Resolution for Kac-Moody Algebras and Quantized Enveloping Algebras

I. Heckenberger, S. Kolb, 2006, math/0605460.

The Locally Finite Part of the Dual Coalgebra of Quantized Irreducible Flag Manifolds

I. Heckenberger, S. Kolb, 2003, math/0301244.

Classification of Left-Covariant Differential Calculi on the Quantum Group SLq(2)☆☆☆

I. Heckenberger, 2000, math/0006211.

Finite Weyl groupoids of rank three

M. Cuntz, I. Heckenberger, 2009, 0912.0212.

Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid (Combinatorial Representation Theory and Related Topics)

F. Spill, I. Heckenberger, A. Torrielli, 2007, 0705.1071.

BOSONIZATION OF FRIENDLY LIE BIALGEBRAS

I. Heckenberger, L. Vendramin, 2022, 2209.02115.

Bosonization of curved Lie bialgebras

I. Heckenberger, L. Vendramin, 2022, 2209.02115.

De Rham complex for quantized irreducible flag manifolds

I. Heckenberger, S. Kolb, 2003, math/0307402.

Levi-Civita Connections on the Quantum Groups SLq(N), Oq(N) and Spq(N)

K. Schmüdgen, I. Heckenberger, 1995, q-alg/9512001.

DIFFERENTIAL CALCULUS ON QUANTUM COMPLEX GRASSMANN MANIFOLDS II: CLASSIFICATION

I. Heckenberger, S. Kolb, 2001, math/0112155.

Ju l 1 99 7 Classification of Bicovariant Differential Calculi on the Quantum Groups SL q ( n + 1 ) and Sp q ( 2 n ) ∗

K. Schmüdgen, I. Heckenberger, 1998 .

Bicovariant differential calculi on SLq(N) and Spq(N)

K. Schmüdgen, I. Heckenberger, 1997 .

Classification of bicovariant differential calculi on the quantum groups SL q (n+1) an

K. Schmüdgen, I. Heckenberger, 1997, q-alg/9707032.

On the Left and Right Brylinski-Kostant Filtrations

A. Joseph, I. Heckenberger, 2009 .

Braided racks, Hurwitz actions and Nichols algebras with many cubic relations

I. Heckenberger, L. Vendramin, A. Lochmann, 2012, Transformation Groups.

Braided racks, Hurwitz actions and Nichols algebras with many cubic relations

I. Heckenberger, L. Vendramin, A. Lochmann, 2011, 1103.4526.

Nichols algebras of group type with many quadratic relations

I. Heckenberger, L. Vendramin, M. Graña, 2010, 1004.3723.

Nichols algebras over groups with finite root system of rank two II

I. Heckenberger, L. Vendramin, 2010, 1302.0213.

Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid

H. Schneider, I. Heckenberger, 2009, 0909.0293.

Weyl groupoids of rank two and continued fractions

M. Cuntz, I. Heckenberger, 2008, 0807.0124.

The Nichols algebra of a semisimple Yetter-Drinfeld module

H. Schneider, N. Andruskiewitsch, I. Heckenberger, 2008, American Journal of Mathematics.

Classification of arithmetic root systems of rank 3

I. Heckenberger, 2005, math/0509145.

The Weyl groupoid of a Nichols algebra of diagonal type

I. Heckenberger, 2004, math/0411477.

Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples

I. Heckenberger, 2004, math/0402350.

New examples of Nichols algebras with finite root system of rank two

I. Heckenberger, L. Vendramin, 2013 .

Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid

H. Schneider, I. Heckenberger, 2013, Israel Journal of Mathematics.

On a factorization of graded Hopf algebras using Lyndon words

I. Heckenberger, M. Graña, 2006, math/0608678.

Weyl equivalence for rank 2 Nichols algebras of diagonal type

I. Heckenberger, 2004, ANNALI DELL UNIVERSITA DI FERRARA.

Rank 2 Nichols Algebras with Finite Arithmetic Root System

I. Heckenberger, 2004, math/0412458.

Homogeneous right coideal subalgebras of quantized enveloping algebras

I. Heckenberger, S. Kolb, 2011, 1109.3986.

Right coideal subalgebras of the Borel part of a quantized enveloping algebra

I. Heckenberger, S. Kolb, 2009, 0910.3505.

Differential forms via the Bernstein–Gelfand–Gelfand resolution for quantized irreducible flag manifolds

I. Heckenberger, S. Kolb, 2006, math/0611507.

Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus

I. Heckenberger, S. Kolb, 2002, math/0204264.

Nichols Algebras and Their Interactions with Lie Theory , Hopf Algebras and Tensor Categories

James J. Zhang, S. Witherspoon, N. Andruskiewitsch, 2016 .

ON FRT– CLIFFORD ALGEBRAS

I. Heckenberger, A. Schüler, 2000, math/0010250.

Symmetrizer and Antisymmetrizer of the Birman–Wenzl–Murakami Algebras

I. Heckenberger, A. Schüler, 1999, math/0002170.

On the representation theory of non-semisimple (graded) deformed Fomin-Kirillov algebras.

I. Heckenberger, A. Alia, 2020, 2011.14777.

PBW Deformations of a Fomin–Kirillov Algebra and Other Examples

I. Heckenberger, L. Vendramin, 2018, Algebras and Representation Theory.

PBW Deformations of a Fomin–Kirillov Algebra and Other Examples

I. Heckenberger, L. Vendramin, 2017, Algebras and Representation Theory.

On Nichols algebras of infinite rank with finite Gelfand–Kirillov dimension

N. Andruskiewitsch, I. Heckenberger, I. Angiono, 2018, Rendiconti Lincei - Matematica e Applicazioni.

On finite GK-dimensional Nichols algebras over abelian groups

N. Andruskiewitsch, I. Heckenberger, I. Angiono, 2016, Memoirs of the American Mathematical Society.

Hopf Algebras and Root Systems

H. Schneider, I. Heckenberger, 2020, Mathematical Surveys and Monographs.

A generalization of Coxeter groups, root systems, and Matsumoto’s theorem

I. Heckenberger, H. Yamane, István Heckenberger, 2006, math/0610823.

On the lattice of subracks of the rack of a finite group

V. Welker, I. Heckenberger, J. Shareshian, 2015, Transactions of the American Mathematical Society.

Nichols algebras with many cubic relations

I. Heckenberger, L. Vendramin, A. Lochmann, 2012, 1212.4330.

Reflection groupoids of rank two and cluster algebras of type A

Michael Cuntz, István Heckenberger, M. Cuntz, 2009, J. Comb. Theory, Ser. A.

Exterior algebras related to the quantum group O(Oq(3))

I. Heckenberger, A. Schüler, 1998, math/9808086.

Simple Yetter-Drinfeld modules over groups with prime dimension and a finite-dimensional Nichols algebra

I. Heckenberger, L. Vendramin, E. Meir, 2023, 2306.02989.

Bosonization of curved Lie bialgebras

I. Heckenberger, L. Vendramin, 2022, Bulletin of the Belgian Mathematical Society - Simon Stevin.

Yetter-Drinfeld modules over bosonizations of dually paired Hopf algebras

H. Schneider, I. Heckenberger, 2011, 1111.4673.

Erratum to the Article “On the Left and Right Brylinski-Kostant filtrations”

A. Joseph, I. Heckenberger, 2014 .

Geometric combinatorics of Weyl groupoids

V. Welker, I. Heckenberger, 2010, 1003.3231.

Finite Weyl groupoids

M. Cuntz, I. Heckenberger, 2010, 1008.5291.