Is your feature request related to a problem or challenge? Please describe what you are trying to do.
This is part of the larger project to implement StringViewArray -- see #5374

In #5508, @RinChanNOWWW tracked adding casting to/from StringArray 🙏 ❤️

This ticket tracks adding additional data type support for StringViewArray and ByteViewArray in the cast kernel: https://docs.rs/arrow/latest/arrow/compute/kernels/cast/index.html

Many systems (e.g InfluxDB 3.0, Apache DataFusion Comet, and I think Coralogix) use DictionaryArrays. Thus supporting casting to/from DictionaryArray will be important to permit easy integration into downstream consumers

Describe the solution you'd like

Specifically the following conversions should be supported in the cast kernels:

• StringViewArray <--> DictionaryArray<IndexType, Utf8>
• StringViewArray <--> DictionaryArray<IndexType, LargeUtf8>

And similarly for Binary:

• BinaryViewArray <--> DictionaryArray<IndexType, Binary>
• BinaryViewArray <--> DictionaryArray<IndexType, LargeBinary>

Notes:

1. Good test coverage is the most important part of this ticket
2. I recommend smaller PRs if possible
3. I think DictionaryArray<IndexType, LargeUtf8> --> StringViewArray can be implemented without copying strings
4. I think StringViewArray --> DictionaryArray<IndexType, LargeUtf8> will likely require copying the strings

Describe alternatives you've considered
I think casting from Dictionary

Additional context