Publications related to Design of unitary space-time codes from representations of SU(2)

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Ulam asked whether all Lie groups can be represented faithfully on a countable set. We establish a reduction of Ulam's problem to the case of simple Lie groups. In particular, we solve the problem for all solvable Lie groups and more generally Lie groups w ...

San Diego2023

Lie groups as permutation groups: Ulam's problem in the nilpotent case

Nicolas Monod

Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate ...

WALTER DE GRUYTER GMBH2022

Spherical birational sheets in reductive groups

Filippo Ambrosio

We classify the spherical birational sheets in a complex simple simply-connected algebraic group. We use the classification to show that, when G is a connected reductive complex algebraic group with simply-connected derived subgroup, two conjugacy classes ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

Antenna for a Cranial Implant: Simulation Issues and Design Strategies

Anja Skrivervik, Zvonimir Sipus, Miroslav Veljovic

The design of a specific antenna for a cranial implant is used to illustrate design and simulation issues linked to implantable antennas. After a brief introduction, we will review the requirements for the antenna, and go through the design process, discus ...

IEEE2020

Acoustic Actuation Of Suspended Graphene For Linear Excitation Of 2D Nems

Luis Guillermo Villanueva Torrijo, Muhammad Faizan, Marsha Mary Parmar

In this paper, we present the fabrication of on-chip piezoelectric acoustic actuation for 2D materials. Acoustic actuation is achieved at device level through patterning of aluminum nitride (AlN) thin film at wafer scale. Two piezoelectric stacks consistin ...

IEEE2019

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Nathan Scheinmann

Let

Y

be a simply connected simple algebraic group over an algebraically closed field

k

of characteristic

p

and let

X

be a maximal closed connected simple subgroup of

Y

. Excluding some small primes in specific cases, we classify the

p

-restrict ...

EPFL2019

Modular functors, cohomological field theories, and topological recursion

Nicolas Gerson Orantin

Given a topological modular functor V in the sense of Walker, we construct vector bundles Z (lambda) over bar, over (M) over bar (g,n) whose Chern characters define semi-simple cohomological field theories. This construction depends on a determinati ...

AMER MATHEMATICAL SOC2018

Toda frames, harmonic maps and extended Dynkin diagrams

Katharine Felicity Turner

We consider a natural subclass of harmonic maps from a surface into G/T, namely cyclic primitive maps. Here G is any simple real Lie group (not necessarily compact), T is a Cartan subgroup and both are chosen so that there is a Coxeter automorphism on G(C) ...

Elsevier2017

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Aparajita Dasgupta

In this paper we give a global characterisation of classes of ultradi_erentiable functions and corresponding ultradistributions on a compact manifold X. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X. Thi ...

2016

Eigenfunction Expansions Of Ultradifferentiable Functions And Ultradistributions

Aparajita Dasgupta

In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X. Th ...

American Mathematical Society2016

Design of unitary space-time codes from representations of SU(2)

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Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Lie groups as permutation groups: Ulam's problem in the nilpotent case

Spherical birational sheets in reductive groups

Antenna for a Cranial Implant: Simulation Issues and Design Strategies

Acoustic Actuation Of Suspended Graphene For Linear Excitation Of 2D Nems

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Modular functors, cohomological field theories, and topological recursion

Toda frames, harmonic maps and extended Dynkin diagrams

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Eigenfunction Expansions Of Ultradifferentiable Functions And Ultradistributions

Spherical birational sheets in reductive groups

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Modular functors, cohomological field theories, and topological recursion

Eigenfunction Expansions Of Ultradifferentiable Functions And Ultradistributions

Lie groups as permutation groups: Ulam's problem in the nilpotent case

Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Toda frames, harmonic maps and extended Dynkin diagrams

Acoustic Actuation Of Suspended Graphene For Linear Excitation Of 2D Nems

Antenna for a Cranial Implant: Simulation Issues and Design Strategies